Calculus For The Life Sciences
2nd Edition
ISBN: 9780321964038
Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher: Pearson Addison Wesley,
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11.1, Problem 37E
To determine
To find:
The equilibrium points and their stability for the given
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Identify equilibrium values and determine which are stable and which are unstable.dy/dx = (y+4)(y+3)A. y=4 is stable, y=3 unstableB. y=-3 is stable, y=4 unstableC. y=-4 is stable, y=3 is unstableD. y=3 is stable, y=-4 is unstable
dy
The equation - y = x², where y(0) = 0
dx
a. is homogenous and nonlinear, and has infinite solutions.
b. is nonhomogeneous and linear, and has a unique solution.
c. is homogenous and nonlinear, and has a unique solution.
d. is nonhomogeneous and nonlinear, and has a unique solution.
e. is homogenous and linear, and has infinite solutions.
A particle moves along the y-axis so that its position at time
0S1S 20 is given by y(t) = 5t -5. At what time does the particle
%D
change direction?
A. 5 seconds
B. 7.5 seconds
C. 10 seconds
D. 15 seconds
E. 18 seconds
Chapter 11 Solutions
Calculus For The Life Sciences
Ch. 11.1 - YOUR TURN 1 Find all solutions of the differential...Ch. 11.1 - Prob. 2YTCh. 11.1 - Prob. 3YTCh. 11.1 - YOUR TURN In Example 6, find the goat population...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 2ECh. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6E
Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Prob. 10ECh. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the general solution for each differential...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Prob. 20ECh. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Find the particular solution for each initial...Ch. 11.1 - Prob. 35ECh. 11.1 - Prob. 36ECh. 11.1 - Prob. 37ECh. 11.1 - Prob. 38ECh. 11.1 - Prob. 39ECh. 11.1 - Prob. 40ECh. 11.1 - Suppose that 0y0N. Let b=(Ny0)y0, and let...Ch. 11.1 - Prob. 42ECh. 11.1 - Tracer Dye The amount of a tracer dye injected...Ch. 11.1 - Soil Moisture The evapotranspiration index I is a...Ch. 11.1 - Fish Population An Isolated fish population is...Ch. 11.1 - Dieting A persons weight depends both on the daily...Ch. 11.1 - Refer to Exercise 46. Suppose someone initially...Ch. 11.1 - U.S. Hispanic Population A recent report by the...Ch. 11.1 - U.S Asian Population Refer to Exercise 50. The...Ch. 11.1 - Guernsey Growth The growth of Guernsey cows can be...Ch. 11.1 - Flea Beetles A study of flea beetles found that...Ch. 11.1 - Plant Growth Researchers have found that the...Ch. 11.1 - Spread of a Rumor Suppose the rate at which a...Ch. 11.1 - Radioactive Decay The amount of a radioactive...Ch. 11.1 - Newtons Law of Cooling Newtons law of cooling...Ch. 11.1 - According to the solution in Exercise 58 of the...Ch. 11.1 - Newtons Law of Cooling When a dead body is...Ch. 11.1 - Prob. 61ECh. 11.2 - Prob. 1YTCh. 11.2 - YOUR TURN Solve the initial value problem...Ch. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - Prob. 10ECh. 11.2 - EXERCISES Find the general solution for each...Ch. 11.2 - Prob. 12ECh. 11.2 - Prob. 13ECh. 11.2 - Prob. 14ECh. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - EXERCISES Solve each differential equation,...Ch. 11.2 - Prob. 21ECh. 11.2 - Prob. 22ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 29ECh. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - Prob. 32ECh. 11.2 - Prob. 33ECh. 11.3 - Use Eulers method to approximate the solution of...Ch. 11.3 - Prob. 1ECh. 11.3 - Prob. 2ECh. 11.3 - Prob. 3ECh. 11.3 - Prob. 4ECh. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Prob. 6ECh. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Prob. 8ECh. 11.3 - Prob. 9ECh. 11.3 - Prob. 10ECh. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Prob. 16ECh. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Use Eulers method to approximate the indicated...Ch. 11.3 - Prob. 19ECh. 11.3 - Prob. 20ECh. 11.3 - Prob. 21ECh. 11.3 - Prob. 22ECh. 11.3 - Solve each differential equation and graph the...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 31ECh. 11.3 - Immigration An island is colonized by immigration...Ch. 11.3 - Insect Population A population of insects y,...Ch. 11.3 - Whale Population Under certain conditions a...Ch. 11.3 - Goat Growth The growth of male Saanen goats can be...Ch. 11.3 - Spread of Rumors A rumor spreads through a...Ch. 11.4 - For Exercises 1-8, solve the system of...Ch. 11.4 - For Exercise 1-8, solve the system of differential...Ch. 11.4 - For Exercises 1-8, solve the system of...Ch. 11.4 - For Exercises 1-8, solve the system of...Ch. 11.4 - For Exercises 1-8, solve the system of...Ch. 11.4 - For Exercises 1-8, solve the system of...Ch. 11.4 - For Exercise 9-14, find the particular solution...Ch. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - For Exercise 9-14, find the particular solution...Ch. 11.5 - YOUR TURN Consider the system of differential...Ch. 11.5 - YOUR TURN Letting p=4,q=1,r=3,ands=5 in Example 2,...Ch. 11.5 - Prob. 9ECh. 11.5 - Whales and Krill For the system of differential...Ch. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.6 - YOUR TURN 1 Suppose that an epidemic in a...Ch. 11.6 - Prob. 2YTCh. 11.6 - Spread of an Epidemic The native Hawaiians lived...Ch. 11.6 - Prob. 3ECh. 11.6 - Prob. 4ECh. 11.6 - Prob. 5ECh. 11.6 - Prob. 6ECh. 11.6 - Prob. 7ECh. 11.6 - Prob. 8ECh. 11.6 - Solve Exercise 10 if pure water is added instead...Ch. 11.6 - Prob. 14ECh. 11.6 - Solve Exercise 14 if a 25 solution of the same...Ch. 11.6 - Prob. 16ECh. 11.CR - Prob. 1CRCh. 11.CR - Prob. 2CRCh. 11.CR - Prob. 3CRCh. 11.CR - Prob. 4CRCh. 11.CR - Prob. 5CRCh. 11.CR - Prob. 6CRCh. 11.CR - Prob. 7CRCh. 11.CR - Prob. 8CRCh. 11.CR - Prob. 9CRCh. 11.CR - Prob. 10CRCh. 11.CR - Prob. 11CRCh. 11.CR - Prob. 12CRCh. 11.CR - Prob. 13CRCh. 11.CR - Prob. 14CRCh. 11.CR - Prob. 15CRCh. 11.CR - Prob. 16CRCh. 11.CR - Prob. 17CRCh. 11.CR - Prob. 18CRCh. 11.CR - Prob. 19CRCh. 11.CR - Classify each equation as separable, linear, both...Ch. 11.CR - Prob. 21CRCh. 11.CR - Prob. 22CRCh. 11.CR - Prob. 23CRCh. 11.CR - Prob. 24CRCh. 11.CR - Prob. 25CRCh. 11.CR - Prob. 26CRCh. 11.CR - Prob. 27CRCh. 11.CR - Prob. 28CRCh. 11.CR - Prob. 29CRCh. 11.CR - Prob. 30CRCh. 11.CR - Prob. 31CRCh. 11.CR - Prob. 32CRCh. 11.CR - Prob. 33CRCh. 11.CR - Prob. 34CRCh. 11.CR - Prob. 35CRCh. 11.CR - Prob. 36CRCh. 11.CR - Prob. 37CRCh. 11.CR - Prob. 38CRCh. 11.CR - Prob. 39CRCh. 11.CR - Prob. 40CRCh. 11.CR - Prob. 41CRCh. 11.CR - Prob. 42CRCh. 11.CR - Prob. 43CRCh. 11.CR - Prob. 44CRCh. 11.CR - Prob. 45CRCh. 11.CR - Prob. 46CRCh. 11.CR - Prob. 47CRCh. 11.CR - Prob. 48CRCh. 11.CR - Prob. 49CRCh. 11.CR - Prob. 50CRCh. 11.CR - Prob. 51CRCh. 11.CR - Prob. 52CRCh. 11.CR - Solve each of the following systems of...Ch. 11.CR - Prob. 54CRCh. 11.CR - Effect of Insecticide After use of an experimental...Ch. 11.CR - Growth of a Mite Population A population of mites...Ch. 11.CR - Prob. 60CRCh. 11.CR - Prob. 61CRCh. 11.CR - Prob. 68CRCh. 11.CR - Prob. 69CRCh. 11.CR - Prob. 70CRCh. 11.CR - Prob. 71CRCh. 11.EA - Prob. 1EACh. 11.EA - Prob. 2EACh. 11.EA - Prob. 3EACh. 11.EA - Prob. 5EACh. 11.EA - Prob. 7EACh. 11.EA - Prob. 8EA
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.Similar questions
- Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.arrow_forwardcalculate y′′ and y′′′ 3. y=x4−25x2+2xarrow_forwardDetermine whether the following PDE is equilibrium equation or dynamical equation. du Ət dx² dy² а. cannot be determined b. equilibrium equation С. dynamical equationarrow_forward
- y′ = y2arrow_forwardUse the information given in the figure below to construct a mathematical model for the number of pounds of salt x₁(t), x₂(t), and x3(t) at time t in tanks A, B, and C, respectively. dx₁ dt dx2 dt dx3 dt = = = pure water 5 gal/min A 100 gal mixture 4 gal/min mixture 9 gal/min B 100 gal mixture 1 gal/min mixture 6 gal/min C 100 gal mixture 5 gal/minarrow_forwardEliminate the arbitrary constant in the equation y? = 4ax. a. x?dy + 2xydx = 0 b. x²dy – 2xydx = 0 c. y?dx + 2xydy = 0 d. y?dx – 2xydy = 0 %3D -arrow_forward
- Solve the given equation.. (3x?y+2xy+ y³)dx + (x² + y?)dy = 0 a. (3x?y + y)e3x = C (3x?y + y³)e3* = C (3xy + y³)e3x = C d. (3x?y+ y?)e* = C e. (3x?y3 + y?)e3x = C b. с.arrow_forwardIdentify whether the following equations are linear or non-linear dy a. +y = 0 dt dx b. + x2 = 0 dt dy c. %+t? = 0 d. y+t? = 0 + 3 + 2y = 0 f. x²+x+ (x² – n²)y = 0 d²y е. dx2 dx d²y dx2 dzy dy +y-y= 0 dx2 dx h. x" +x = 0 i. x" + 2x' + x = 0 j. x' + = 0 k. x' + x2 = 0 1. x" + sin x = 0 m. xx' = 1 n. x' +y' = 0 0. xy' = 1arrow_forwardDetermine the equilibrium solutions, if any, for the given equation. Identify equilibrium solutions as stable, unstable or semi-stable.arrow_forward
- Find a solution to dy = xy + 4x + 3y + 12. If necessary, use k to denote an arbitrary constant. dx help (equations)arrow_forwarddo allarrow_forwardAn engineer wants to determine the spring constant for a particular spring. She hangs various weights on one end of the spring and measures the length of the spring each time. A scatterplot of length (y) versus load (x) is depicted in the following figure. Inad a Is the model y = P, +B, x an empirical model or a physical law? b. Should she transform the variables to try to make the relationship more linear, or would it be better to redo the experiment? Explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
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