![Fundamentals of Differential Equations and Boundary Value Problems](https://www.bartleby.com/isbn_cover_images/9780321977106/9780321977106_largeCoverImage.gif)
Fundamentals of Differential Equations and Boundary Value Problems
7th Edition
ISBN: 9780321977106
Author: Nagle, R. Kent
Publisher: Pearson Education, Limited
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 4.7, Problem 23E
To determine
(a)
To prove:
If
And
To determine
(b)
To prove:
If
To determine
(c)
To express:
The solutions forms
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
Use undetermined coefficients to find the particular solution to
y"-2y-4y=3t+6
Yp(t) =
Solve
y"+3y+2y= 0, y(0) = 3, y'(0) = -1
y(t) =
Solve
4y"-23y+15y = 0, y(0) = -8, y'(0) = -23
y(t) =
Chapter 4 Solutions
Fundamentals of Differential Equations and Boundary Value Problems
Ch. 4.1 - Verify that for b=0 and Fext(t)=0, equation (3)...Ch. 4.1 - If Fext(t)=0, equation (3) becomes my+by+ky=0. For...Ch. 4.1 - Show that if Fext(t)=0, m=1, k=9, and b=6, then...Ch. 4.1 - Prob. 4ECh. 4.1 - Verify that the exponentially damped sinusoid...Ch. 4.1 - An external force F(t)=2cos2t is applied to a...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - In Problems 79, find a synchronous solution of the...Ch. 4.1 - Undamped oscillators that are driven at resonance...
Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 1-12, find a general solution to the...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - In Problems 13-20, solve the given initial value...Ch. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Problems 22-25, use the method described in...Ch. 4.2 - Prob. 24ECh. 4.2 - In Problems 22-25, use the method described in...Ch. 4.2 - 26.Boundary Value Problems. When the values of a...Ch. 4.2 - In Problems 27 32, use Definition 1 to determine...Ch. 4.2 - In Problems 2732, use Definition 1 to determine...Ch. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - In Problems 2732, use Definition 1 to determine...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Wronskian. For any two differentiable functions y1...Ch. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - Prob. 38ECh. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - In Problems 3741, find three linearly independent...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Solve the initial value problem: y2yy+2y=0;...Ch. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 1-8, the auxiliary equation for the...Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. u+7u=0Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. yy+7y=0Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution....Ch. 4.3 - In Problems 9-20, find a general solution. yy+2y=0Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - Prob. 26ECh. 4.3 - In Problems 21-27, solve the given initial value...Ch. 4.3 - To see the effect of changing the parameters b in...Ch. 4.3 - Find a general solution to the following...Ch. 4.3 - Prob. 30ECh. 4.3 - Using the mass-spring analogy, predict the...Ch. 4.3 - Vibrating Spring without Damping. A vibrating...Ch. 4.3 - Vibrating Spring with Damping. Using the model for...Ch. 4.3 - Prob. 34ECh. 4.3 - Swinging Door. The motion of a swinging door with...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prove the sum of angles formula for the sine...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - Prob. 6ECh. 4.4 - In Problem 1-8, decide whether or not the method...Ch. 4.4 - Prob. 8ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problem 9-26, find a particular solution to the...Ch. 4.4 - Prob. 12ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 16ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 18ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - Prob. 20ECh. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 9-26, find a particular solution to...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - In Problems 27 32, determine the form of a...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - Prob. 31ECh. 4.4 - In Problems 2732, determine the form of a...Ch. 4.4 - Prob. 33ECh. 4.4 - In Problems 3336, use the method of undetermined...Ch. 4.4 - Prob. 35ECh. 4.4 - In Problems 3336, use the method of undetermined...Ch. 4.5 - Given that y1(t)=cost is a solution to yy+y=sint...Ch. 4.5 - Given that y1(t)=(1/4)sin2t is a solution to...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problem 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problem 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - In Problems 3-8, a nonhomogeneous equation and a...Ch. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - In Problems 9-16 decide whether the method of...Ch. 4.5 - In Problems 9-16 decide whether the method of...Ch. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - In Problem 17-22, find a general solution to the...Ch. 4.5 - In Problems 17-22, find a general solution to the...Ch. 4.5 - In Problems 17-22, find a general solution to the...Ch. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - Prob. 27ECh. 4.5 - In Problems 2330, find the solution to the initial...Ch. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - Prob. 34ECh. 4.5 - In Problems 3136, determine the form of a...Ch. 4.5 - In Problems 31 36, determine the form of a...Ch. 4.5 - In Problems 3740, find a particular solution to...Ch. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Discontinuous Forcing Term. In certain physical...Ch. 4.5 - Forced Vibrations. As discussed in Section 4.1, a...Ch. 4.5 - A massspring system is driven by a sinusoidal...Ch. 4.5 - Prob. 44ECh. 4.5 - Speed Bumps. Often bumps like the one depicted in...Ch. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - Prob. 3ECh. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - In Problems 18, find a general solution to the...Ch. 4.6 - Prob. 9ECh. 4.6 - In Problems 9 and 10, find a particular solution...Ch. 4.6 - In Problems 1118, find a general solution to the...Ch. 4.6 - In Problems 1118, find a general solution to the...Ch. 4.6 - Prob. 13ECh. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - In Problems 11-18, find a general solution to the...Ch. 4.6 - Prob. 19ECh. 4.6 - Use the method of variation of parameters to show...Ch. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - In Problems 22 through 25, use variation of...Ch. 4.6 - In Problems 22 through 25, use variation of...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 1 through 4, use Theorem 5 to discuss...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 5 through 8, determine whether Theorem...Ch. 4.7 - In Problems 9 through 14, find a general solution...Ch. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - In Problems 9 through 14, find a general solution...Ch. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - In Problems 15 through 18, find a general solution...Ch. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.7 - In Problems 21 and 22, devise a modification of...Ch. 4.7 - Prob. 23ECh. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Let y1(t)=t3 and y2(t)=|t3|. Are y1 and y2...Ch. 4.7 - Prob. 27ECh. 4.7 - Let y1(t)=t2 and y2(t)=2t|t|. Are y1 and y2...Ch. 4.7 - Prob. 29ECh. 4.7 - Prob. 30ECh. 4.7 - Prob. 31ECh. 4.7 - By completing the following steps, prove that the...Ch. 4.7 - Prob. 33ECh. 4.7 - Given that 1+t, 1+2t, and 1+3t2 are solutions to...Ch. 4.7 - Verify that the given functions y1 and y2 are...Ch. 4.7 - In Problems 37 through 39, find general solutions...Ch. 4.7 - Prob. 38ECh. 4.7 - In Problems 37 through 39, find general solutions...Ch. 4.7 - Prob. 40ECh. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - In Problems 41 through 44, a differential equation...Ch. 4.7 - Find a particular solution to the nonhomogeneous...Ch. 4.7 - Find a particular solution to the nonhomogeneous...Ch. 4.7 - In quantum mechanics, the study of the Schrodinger...Ch. 4.7 - Prob. 48ECh. 4.7 - Prob. 49ECh. 4.7 - Prob. 50ECh. 4.7 - Prob. 51ECh. 4.7 - Prob. 52ECh. 4.8 - Show that if y(t) satisfies yty=0, then y(t)...Ch. 4.8 - Prob. 2ECh. 4.8 - Prob. 3ECh. 4.8 - Prob. 4ECh. 4.8 - a. Use the energy integral lemma to derive the...Ch. 4.8 - Prob. 6ECh. 4.8 - Prob. 7ECh. 4.8 - Use the energy integral Lemma to show that...Ch. 4.8 - Prob. 9ECh. 4.8 - Prob. 10ECh. 4.8 - Prob. 11ECh. 4.8 - Prob. 12ECh. 4.8 - Prob. 13ECh. 4.8 - Prob. 14ECh. 4.8 - Use the mass-spring oscillator analogy to decide...Ch. 4.8 - Prob. 16ECh. 4.8 - Prob. 17ECh. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - Prob. 2ECh. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - All problems refer to the mass-spring...Ch. 4.9 - Prob. 5ECh. 4.9 - Prob. 6ECh. 4.9 - Prob. 7ECh. 4.9 - Prob. 8ECh. 4.9 - A 2kg mass is attached to a spring with stiffness...Ch. 4.9 - A 1/4-kg mass is attached to a spring with...Ch. 4.9 - Prob. 11ECh. 4.9 - A 1/4-kg mass is attached to a spring with...Ch. 4.9 - Prob. 13ECh. 4.9 - For an underdamped system, verify that as b0 the...Ch. 4.9 - How can one deduce the value of the damping...Ch. 4.9 - Prob. 16ECh. 4.9 - Consider the equation for free mechanical...Ch. 4.9 - Consider the equation for free mechanical...Ch. 4.10 - Sketch the frequency response curve (13) for the...Ch. 4.10 - Prob. 2ECh. 4.10 - Determine the equation of the motion for an...Ch. 4.10 - Prob. 4ECh. 4.10 - An undamped system is governed by...Ch. 4.10 - Derive the formula for yp(t) given in 21...Ch. 4.10 - Shock absorbers in automobiles and aircraft can be...Ch. 4.10 - The response of an overdamped system to a constant...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.10 - Show that the period of the simple harmonic motion...Ch. 4.10 - A mass weighing 8 lb is attached to a spring...Ch. 4.10 - A 2-kg mass is attached to a spring hanging from...Ch. 4.10 - A mass weighing 32lb is attached to a spring...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.10 - An 8-kg mass is attached to a spring hanging from...Ch. 4.RP - In Problems 1-28, find a general solution to the...Ch. 4.RP - Prob. 2RPCh. 4.RP - Prob. 3RPCh. 4.RP - Prob. 4RPCh. 4.RP - Prob. 5RPCh. 4.RP - Prob. 6RPCh. 4.RP - Prob. 7RPCh. 4.RP - Prob. 8RPCh. 4.RP - In Problems 1 -28, find the general solution to...Ch. 4.RP - Prob. 10RPCh. 4.RP - Prob. 11RPCh. 4.RP - Prob. 12RPCh. 4.RP - Prob. 13RPCh. 4.RP - Prob. 14RPCh. 4.RP - Prob. 15RPCh. 4.RP - Prob. 16RPCh. 4.RP - Prob. 17RPCh. 4.RP - Prob. 18RPCh. 4.RP - Prob. 19RPCh. 4.RP - Prob. 20RPCh. 4.RP - Prob. 21RPCh. 4.RP - Prob. 22RPCh. 4.RP - Prob. 23RPCh. 4.RP - Prob. 24RPCh. 4.RP - Prob. 25RPCh. 4.RP - In Problems 1-28, find a general solution to the...Ch. 4.RP - Prob. 27RPCh. 4.RP - Prob. 28RPCh. 4.RP - Prob. 29RPCh. 4.RP - Prob. 30RPCh. 4.RP - Prob. 31RPCh. 4.RP - Prob. 32RPCh. 4.RP - Prob. 33RPCh. 4.RP - Prob. 34RPCh. 4.RP - Prob. 35RPCh. 4.RP - Prob. 36RPCh. 4.RP - Use the mass-spring oscillator analogy to decide...Ch. 4.RP - A 3kg mass is attached to a spring with stiffness...Ch. 4.RP - A 32lb weight is attached to a vertical spring,...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Car A starts from rest at t = 0 and travels along a straight road with a constant acceleration of 6 ft/s^2 until it reaches a speed of 60ft/s. Afterwards it maintains the speed. Also, when t = 0, car B located 6000 ft down the road is traveling towards A at a constant speed of 80 ft/s. Determine the distance traveled by Car A when they pass each other.Write the solution using pen and draw the graph if needed.arrow_forwardThe velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.arrow_forwardThe velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.arrow_forward
- No chatgpt plsarrow_forward310015 K Question 9, 5.2.28-T Part 1 of 4 HW Score: 85.96%, 49 of 57 points Points: 1 Save of 6 Based on a poll, among adults who regret getting tattoos, 28% say that they were too young when they got their tattoos. Assume that six adults who regret getting tattoos are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. a. Find the probability that none of the selected adults say that they were too young to get tattoos. 0.0520 (Round to four decimal places as needed.) Clear all Final check Feb 7 12:47 US Oarrow_forwardSolutions of inequalitie Google Classroom Mic Is (-3, 2) a solution of 7x+9y > -3? Choose 1 answer: A Yes B No Related content ▶6:06 Testing solutions to inequalities 2 of 4arrow_forward
- can you help me solve the parts and show workings pleasearrow_forwardSuppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO). Beginning at time t = 0, cigarette smoke containing 4% CO is introduced into the room at a rate of 0.8 cubic feet per minute. The well-circulated smoke and air mixture is allowed to leave the room at the same rate. Let A(t) represent the amount of CO in the room (in cubic feet) after t minutes. (A) Write the DE model for the time rate of change of CO in the room. Also state the initial condition. dA dt A(0) (B) Solve the IVP to find the amount of CO in the room at any time t > 0. A(t) (C) Extended exposure to a CO concentration as low as 0.00012 is harmful to the human body. Find the time at which this concentration is reached. t= minutesarrow_forward2 18-17-16-15-14-13-12-11-10 -9 -8 -6 -5 -4-3-2-1 $ 6 8 9 10 -2+ The curve above is the graph of a sinusoidal function. It goes through the points (-10, -1) and (4, -1). Find a sinusoidal function that matches the given graph. If needed, you can enter π-3.1416... as 'pi' in your answer, otherwise use at least 3 decimal digits. f(x) = > Next Questionarrow_forward
- 4. Use method of separation of variable to solve the following wave equation მłu J²u subject to u(0,t) =0, for t> 0, u(л,t) = 0, for t> 0, = t> 0, at² ax²' u(x, 0) = 0, 0.01 x, ut(x, 0) = Π 0.01 (π-x), 0arrow_forwardYou buy a house for $210000, and take out a 30-year mortgage at 7% interest. For simplicity, assume that interest compounds continuously. A) What will be your annual mortgage payment? $ per year B) Suppose that regular raises at your job allow you to increase your annual payment by 6% each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage? yearsarrow_forwardPlease help me answer this question!. Please handwrite it. I don't require AI answers. Thanks for your time!.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
![Text book image](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY