EBK THOMAS' CALCULUS
14th Edition
ISBN: 9780134654874
Author: WEIR
Publisher: VST
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Chapter 9.5, Problem 6E
(a)
To determine
The equilibrium points of the system and to classify the equilibrium points with respect to its stability if the values of the constants are
(b)
To determine
To construct: The graphical stability analysis to determine the reason behind the levels of
(c)
To determine
The economic interpretation of the curves that determine the equilibrium points.
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Show all steps. Correct answer is 37.6991118
Find the flux
F(x, y, z) = xi + 2yj +4zk, S is the cube with vertices (1, 1, 1), (-1, -1, -1)
B-Solve the D.E of the following:
1- y+3y+2fy dt = f(t) for y(0)-1 if f(t) is the function
whose graph is shown below
2- y" +4y = u(t) for y(0)-y'(0)-0
3- y"+4y+13y=e-2t sin3t
1 2
for y(0)-1 and y'(0)=-2
Chapter 9 Solutions
EBK THOMAS' CALCULUS
Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - In Exercises 1–4, match the differential equations...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 10E
Ch. 9.1 - Prob. 11ECh. 9.1 - In Exercises 7–12, write an equivalent first-order...Ch. 9.1 - Prob. 13ECh. 9.1 - In Exercises 13 and 14, consider the differential...Ch. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - In Exercises 15–20, use Euler’s method to...Ch. 9.1 - Use the Euler method with dx = 0.2 to estimate...Ch. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 10ECh. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Solve the differential equations in Exercises...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve the initial value problems in Exercises...Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Solve the exponential growth/decay initial value...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Current in an open RL circuit If the switch is...Ch. 9.2 - Prob. 27ECh. 9.2 - Derivation of Equation (7) in Example 4
Show that...Ch. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Solve the Bernoulli equations in Exercises...Ch. 9.3 - Coasting bicycle A 66-kg cyclist on a 7-kg bicycle...Ch. 9.3 - Prob. 2ECh. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Prob. 10ECh. 9.3 - Show that the curves 2x2 + 3y2 = 5 and y2 = x3 are...Ch. 9.3 - Prob. 12ECh. 9.3 - Salt mixture A tank initially contains 100 gal of...Ch. 9.3 - Prob. 14ECh. 9.3 - Fertilizer mixture A tank contains 100 gal of...Ch. 9.3 - Prob. 16ECh. 9.4 - Prob. 1ECh. 9.4 - Prob. 2ECh. 9.4 - Prob. 3ECh. 9.4 - Prob. 4ECh. 9.4 - Prob. 5ECh. 9.4 - Prob. 6ECh. 9.4 - Prob. 7ECh. 9.4 - Prob. 8ECh. 9.4 - Prob. 9ECh. 9.4 - Prob. 10ECh. 9.4 - Prob. 11ECh. 9.4 - Prob. 12ECh. 9.4 - Prob. 13ECh. 9.4 - Controlling a population The fish and game...Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.5 - Prob. 1ECh. 9.5 - Prob. 2ECh. 9.5 - Develop a model for the growth of trout and bass,...Ch. 9.5 - Prob. 4ECh. 9.5 - Consider another competitive-hunter model defined...Ch. 9.5 - An economic model Consider the following economic...Ch. 9.5 - Two trajectories approach equilibrium Show that...Ch. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - In 1925 Lotka and Volterra introduced the...Ch. 9.5 - Prob. 13ECh. 9.5 - At some time during a trajectory cycle, a wolf...Ch. 9 - Prob. 1GYRCh. 9 - What is a general solution? What is a particular...Ch. 9 - Prob. 3GYRCh. 9 - Prob. 4GYRCh. 9 - Prob. 5GYRCh. 9 - What is an orthogonal trajectory of a family of...Ch. 9 - Prob. 7GYRCh. 9 - Prob. 8GYRCh. 9 - Prob. 9GYRCh. 9 - Prob. 10GYRCh. 9 - Prob. 1PECh. 9 - Prob. 2PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 4PECh. 9 - Prob. 5PECh. 9 - In Exercises 1-22, solve the differential...Ch. 9 - Prob. 7PECh. 9 - Prob. 8PECh. 9 - Prob. 9PECh. 9 - Prob. 10PECh. 9 - Prob. 11PECh. 9 - Prob. 12PECh. 9 - Prob. 13PECh. 9 - Prob. 14PECh. 9 - Prob. 15PECh. 9 - Prob. 16PECh. 9 - Prob. 17PECh. 9 - Prob. 18PECh. 9 - Prob. 19PECh. 9 - Prob. 20PECh. 9 - Prob. 21PECh. 9 - Prob. 22PECh. 9 - Prob. 23PECh. 9 - Prob. 24PECh. 9 - Prob. 25PECh. 9 - Prob. 26PECh. 9 - Prob. 27PECh. 9 - Prob. 28PECh. 9 - Prob. 29PECh. 9 - Prob. 30PECh. 9 - Prob. 31PECh. 9 - Prob. 32PECh. 9 - Prob. 35PECh. 9 - Prob. 36PECh. 9 - In Exercises 35–38, sketch part of the equation’s...Ch. 9 - Prob. 38PECh. 9 - Prob. 39PECh. 9 - Prob. 40PECh. 9 - Prob. 41PECh. 9 - Prob. 42PECh. 9 - Prob. 43PECh. 9 - Prob. 44PECh. 9 - Prob. 1AAECh. 9 - Prob. 2AAECh. 9 - Prob. 3AAECh. 9 - Prob. 4AAECh. 9 - Prob. 5AAECh. 9 - Prob. 6AAECh. 9 - Prob. 7AAECh. 9 - Prob. 8AAECh. 9 - Prob. 9AAECh. 9 - Prob. 10AAE
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