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Exercise 2 equation: dy/dt = y^2 - 4y - 12

Exercise 2 equation: dy/dt = y^2 - 4y - 12

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Exercise 2 equation: dy/dt = y^2 - 4y - 12

In Exercises 13-21, a differential equation and various initial conditions are specified. Sketch the graphs of the solutions satisfying these initial conditions. For each exercise, put all your graphs on one pair of axes. 13. Equation from Exercise 1; 14. Equation from Exercise 2; 15. Equation from Exercise 3; 16. Equation from Exercise 4; 17. Equation from Exercise 5; 18. Equation from Exercise 6; 19. Equation from Exercise 7; 20. Equation from Exercise 8; 21. Equation from Exercise 9; y(0) = 1, y(-2) = -1, y(0) = 3, y(0) = 2. y(0) = 1, y(1) = 0, y(0) = 6, y(0) = 5. y(0) = 0, y(-1)= 1, y(0) = -л/2, y(0)=л. w(0) = 0, w(3) = 1, w(0) = 2, w (0) = -1. w (0) = -3/2, w(0) = 1, w(0) = 2, w (0) = 3. y(0) = 0, y(1) = 3, y(0) = 2 v(0) = 0, v(1) = 1, v(0) = 1. w (0) = -1, w(0) = 0, y (0) = π, y(0) = 0, (trick question). w(0) = 3, y(0) = π, w(1) = 3. y(0) = 2л. In Exercises 22-27, describe the long-term behavior of the solution to the differential equation
Transcribed Image Text:In Exercises 13-21, a differential equation and various initial conditions are specified. Sketch the graphs of the solutions satisfying these initial conditions. For each exercise, put all your graphs on one pair of axes. 13. Equation from Exercise 1; 14. Equation from Exercise 2; 15. Equation from Exercise 3; 16. Equation from Exercise 4; 17. Equation from Exercise 5; 18. Equation from Exercise 6; 19. Equation from Exercise 7; 20. Equation from Exercise 8; 21. Equation from Exercise 9; y(0) = 1, y(-2) = -1, y(0) = 3, y(0) = 2. y(0) = 1, y(1) = 0, y(0) = 6, y(0) = 5. y(0) = 0, y(-1)= 1, y(0) = -л/2, y(0)=л. w(0) = 0, w(3) = 1, w(0) = 2, w (0) = -1. w (0) = -3/2, w(0) = 1, w(0) = 2, w (0) = 3. y(0) = 0, y(1) = 3, y(0) = 2 v(0) = 0, v(1) = 1, v(0) = 1. w (0) = -1, w(0) = 0, y (0) = π, y(0) = 0, (trick question). w(0) = 3, y(0) = π, w(1) = 3. y(0) = 2л. In Exercises 22-27, describe the long-term behavior of the solution to the differential equation
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