CALCULUS EARLY TRANSCENDENTALS W/ WILE
11th Edition
ISBN: 9781119228509
Author: Anton
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8.1, Problem 15ES
Use the results of Exercises 9-14 to find a solution to the initial-value problem.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Chapter 8 Solutions
CALCULUS EARLY TRANSCENDENTALS W/ WILE
Ch. 8.1 - Match each differential equation with its family...Ch. 8.1 - If y=C1e2x+C2xe2x is the general solution of a...Ch. 8.1 - The graph of a differentiable function y=yx passes...Ch. 8.1 - A glass of ice water with a temperature of 36F is...Ch. 8.1 - Confirm that y=3ex3 is a solution of the...Ch. 8.1 - Confirm that y=14x4+2cosx+1 is a solution of the...Ch. 8.1 - State the order of the differential equation, and...Ch. 8.1 - State the order of the differential equation, and...Ch. 8.1 - Determine whether the statement is true or false....Ch. 8.1 - Determine whether the statement is true or false....
Ch. 8.1 - Determine whether the statement is true or false....Ch. 8.1 - Determine whether the statement is true or false....Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - In each part, verify that the functions are...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Use the results of Exercises 9-14 to find a...Ch. 8.1 - Find a solution to the initial-value problem....Ch. 8.1 - Find a solution to the initial-value problem.
Ch. 8.1 - Find a solution to the initial-value problem.
Ch. 8.1 - Find a solution to the initial-value problem....Ch. 8.1 - Find a solution to the initial-value problem.
Ch. 8.1 - Find a solution to the initial-value problem....Ch. 8.1 - (a) Suppose that a quantity y=yt increases at a...Ch. 8.1 - (a) Suppose that a quantity y=yt changes in such a...Ch. 8.1 - (a) Suppose that a particle moves along an s-axis...Ch. 8.1 - Suppose that a body moves along an s-axis through...Ch. 8.1 - Consider a solution y=yt to the uninhibited...Ch. 8.1 - Consider the logistic model for population growth....Ch. 8.1 - Consider the model for the spread of disease. (a)...Ch. 8.1 - Explain why there is exactly one constant solution...Ch. 8.1 - Show that if c1 and c2 axe any constants, the...Ch. 8.1 - (a) Use the result of Exercise 35 to solve the...Ch. 8.2 - Solve the first-order separable equation...Ch. 8.2 - Suppose that a quantity y=yt has an exponential...Ch. 8.2 - Suppose that a quantity y=yt has an exponential...Ch. 8.2 - The initial-value problem dydx=xy,y(0)=1 has...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the differential equation by separation of...Ch. 8.2 - Solve the initial-value problem by separation of...Ch. 8.2 - Solve the initial-value problem by separation of...Ch. 8.2 - Solve the initial-value problem by separation of...Ch. 8.2 - Solve the initial-value problem by separation of...Ch. 8.2 - (a) Sketch some typical integral curves of the...Ch. 8.2 - (a) Sketch some typical integral curves of the...Ch. 8.2 - Solve the differential equation and then use a...Ch. 8.2 - Solve the differential equation and then use a...Ch. 8.2 - Solve the differential equation. If you have a CAS...Ch. 8.2 - Solve the differential equation. If you have a CAS...Ch. 8.2 - Determine whether the statement is true or false....Ch. 8.2 - Determine whether the statement is true or false....Ch. 8.2 - Determine whether the statement is true or false....Ch. 8.2 - Determine whether the statement is true or false....Ch. 8.2 - Suppose that the initial condition in Example 1...Ch. 8.2 - Find all ordered pairs (x0,y0) such that if the...Ch. 8.2 - Find an equation of a curve with x-intercept 2...Ch. 8.2 - Use a graphing utility to generate a curve that...Ch. 8.2 - Suppose that an initial population of 10,000...Ch. 8.2 - A cell of the bacterium E. coli divides into two...Ch. 8.2 - Radon-222 is a radioactive gas with a half-life of...Ch. 8.2 - Methylmercury is a toxic compound that can lead to...Ch. 8.2 - Suppose that 100 fruit flies are placed in a...Ch. 8.2 - Suppose that the town of Grayrock had a population...Ch. 8.2 - A scientist wants to determine the half-life of a...Ch. 8.2 - Suppose that 30 of a certain radioactive substance...Ch. 8.2 - Prob. 37ESCh. 8.2 - (a) What effect does increasing y0 and keeping k...Ch. 8.2 - (a) There is a trick, called the Rule of 70, that...Ch. 8.2 - Find a formula for the tripling time of an...Ch. 8.2 - In 1950, a research team digging near Folsom, New...Ch. 8.2 - (a) Use a graphing utility to make a graph of prem...Ch. 8.2 - (a) It is currently accepted that the half-life of...Ch. 8.2 - Suppose that a quantity y has an exponential...Ch. 8.2 - (a) Show that if a quantity y=yt has an...Ch. 8.2 - Suppose that P dollars is invested at an annual...Ch. 8.2 - (a) If 1000 is invested at 8 per year compounded...Ch. 8.2 - What is the effective annual interest rate for an...Ch. 8.2 - Assume that y=yt satisfies the logistic equation...Ch. 8.2 - Use your answer to Exercise 49 to derive a...Ch. 8.2 - The graph of a solution to the logistic equation...Ch. 8.2 - The graph of a logistic model y=y0Ly0+Ly0ekt is...Ch. 8.2 - The graph of a logistic model y=y0Ly0+Ly0ekt is...Ch. 8.2 - Plot a solution to the initial-value problem...Ch. 8.2 - Suppose that the growth of a population y=yt is...Ch. 8.2 - Suppose that the growth of a population y=yt is...Ch. 8.2 - Suppose that a university residence hall houses...Ch. 8.2 - Suppose that at time t=0 an object with...Ch. 8.2 - A cup of water with a temperature of 95C is placed...Ch. 8.2 - A glass of lemonade with a temperature of 40F is...Ch. 8.2 - A rocket, fired upward from rest at time t=0, has...Ch. 8.2 - A bullet of mass m, fired straight up with an...Ch. 8.2 - Suppose that a tank containing a liquid is vented...Ch. 8.2 - Suppose that a tank containing a liquid is vented...Ch. 8.2 - Suppose that a particle moving along the x-axis...Ch. 8.2 - Suppose that a particle moving along the x-axis...Ch. 8.2 - Use implicit differentiation to prove that any...Ch. 8.2 - Prove that a solution to the initial-value problem...Ch. 8.2 - Let L denote a tangent line at x,y to a solution...Ch. 8.3 - Match each differential equation with its slop...Ch. 8.3 - The slope field for y=y/x at the 16 gridpoints...Ch. 8.3 - When using Euler's Method on the initial-value...Ch. 8.3 - Consider the initial-value problem y=y,y0=1. (a)...Ch. 8.3 - Sketch the slope field for y=xy/4 at the 25...Ch. 8.3 - Sketch the slope field for y+y=2 at the 25...Ch. 8.3 - A slope field for the differential equation y=1y...Ch. 8.3 - Solve the initial-value problems in Exercise 3,...Ch. 8.3 - Use the slope field in Exercise 3 to make a...Ch. 8.3 - In parts (a)-(f), match the differential equation...Ch. 8.3 - Use Euler's Method with the given step size xort...Ch. 8.3 - Use Euler's Method with the given step size xort...Ch. 8.3 - Use Euler's Method with the given step size xort...Ch. 8.3 - Use Euler's Method with the given step size xort...Ch. 8.3 - Consider the initial-value problem y=sint,y0=0 Use...Ch. 8.3 - Determine whether the statement is true or false....Ch. 8.3 - Determine whether the statement is true or false....Ch. 8.3 - Determine whether the statement is true or false....Ch. 8.3 - Determine whether the statement is true or false....Ch. 8.3 - (a) Show that the solution of the initial-value...Ch. 8.3 - The accompanying figure shows a slope field for...Ch. 8.3 - Refer to slope field II in Quick Check Exercise 1....Ch. 8.3 - Refer to the slope field in Exercise 3 and...Ch. 8.3 - Consider the initial-value problem dydx=y2,y0=1...Ch. 8.3 - A slope field of the form y=fy is said to be...Ch. 8.3 - (a) Solve the equation y=y and show that every...Ch. 8.3 - (a) Find a slope field whose integral curve...Ch. 8.3 - (a) Find a slope field whose integral curve...Ch. 8.3 - Consider the initial-value problem y=y,y0=1, and...Ch. 8.3 - Explain the connection between Euler's Method and...Ch. 8.4 - Solve the first-order linear differential equation...Ch. 8.4 - An integrating factor for dydx+yx=q(x) is.Ch. 8.4 - At time t=0, a tank contains 30 oz of salt of salt...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the differential equation by the method of...Ch. 8.4 - Solve the initial-value problem.
Ch. 8.4 - Solve the initial-value problem.
Ch. 8.4 - Solve the initial-value problem.
Ch. 8.4 - Solve the initial-value problem. dydt+y=2,y(0)=1Ch. 8.4 - Determine whether the statement is true or false....Ch. 8.4 - Determine whether the statement is true or false....Ch. 8.4 - Determine whether the statement is true or false....Ch. 8.4 - Determine whether the statement is true or false....Ch. 8.4 - A slope field for the differential equation y=2yx...Ch. 8.4 - Solve the initial-value problem is Exercise 15,...Ch. 8.4 - Use the slope fields in Exercise 15 to make a...Ch. 8.4 - Consider the slope field in Exercise 15. (a) Use...Ch. 8.4 - (a) Use Euler’s Method with a step size of x=0.2...Ch. 8.4 - It was stated at the end of Section 8.3 that...Ch. 8.4 - At time a tank contains 25 oz of salt dissolved...Ch. 8.4 - A tank initially contains 200 gal of pure water....Ch. 8.4 - Fish is a rich source of protein and omega-3 fatty...Ch. 8.4 - The concentration of methylmercury in “light�...Ch. 8.4 - (a) Use the method of integrating factors to...Ch. 8.4 - Suppose a fully equipped skydiver weighing 240 lb...Ch. 8.4 - The accompanying figure is a schematic diagram of...Ch. 8.4 - Find l(t) for the electrical circuit in Exercise...Ch. 8.4 - (a) Prove that any function y=y(x) defined by...Ch. 8.4 - Prove that solutions need not be unique for...Ch. 8.4 - Explain why the quantity n the Method of...Ch. 8 - Classify the following first-order differential...Ch. 8 - Which of the given differential equations are...Ch. 8 - Solve the differential equation by the method of...Ch. 8 - Solve the differential equation by the method of...Ch. 8 - Solve the differential equation by method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - Sketch the integral curve of y=2xy2 that passes...Ch. 8 - Sketch the integral curve of 2yy=1 that passes...Ch. 8 - Sketch the slope fields for y=xy/8 at the 25 grid...Ch. 8 - Solve the differential equation y=xy/8 , and find...Ch. 8 - Use Euler’s Method with the given step size x to...Ch. 8 - Use Euler’s Method with the given step size x to...Ch. 8 - Consider the initial-value problem y=cos2t,y(0)=1...Ch. 8 - Cloth found in an Egyptian pyramid contains 78.5...Ch. 8 - In each part, find an exponential growth model...Ch. 8 - Suppose that an initial population of 5000...Ch. 8 - Solve the differential equation by the method of...Ch. 8 - Solve the differential equation by the method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - Solve the initial-value problem by the method of...Ch. 8 - (a) Solve the initial-value problem...Ch. 8 - A tank contains 1000 gal of fresh water. At time...Ch. 8 - Suppose that a room containing 1200ft3 of air is...
Additional Math Textbook Solutions
Find more solutions based on key concepts
The intercepts of the equation 9 x 2 +4y=36 are ______. (pp.18-19)
Precalculus Enhanced with Graphing Utilities (7th Edition)
Calculate the number.
Glencoe Math Accelerated, Student Edition
The divergence of the vector field.
Calculus: Early Transcendentals (3rd Edition)
In Exercises 11–18, find the slope of the function’s graph at the given point. Then find an equation for the li...
University Calculus: Early Transcendentals (4th Edition)
In Exercises 157, find the derivatives. Assume that a, b, and c are constants. f(t)=aebt
Calculus: Single And Multivariable
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage Learning
Thomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. Freeman
Calculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY