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In Problems 17 through 19 first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition. 17. y' + y = 0; y(x) = Ce-*, y (0) = 2 18. y' = 2y; y(x) = Ce²x, y(0) = 3 19. y' = y + 1; y (x) = Ce* – 1, y(0) = 5

In Problems 17 through 19 first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition. 17. y' + y = 0; y(x) = Ce-*, y (0) = 2 18. y' = 2y; y(x) = Ce²x, y(0) = 3 19. y' = y + 1; y (x) = Ce* – 1, y(0) = 5

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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In Problems 17 through 19 first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition. 17. y' + y = 0; y(x) = Ce-*, y (0) = 2 18. y' = 2y; y(x) = Ce²x, y(0) = 3 19. y' = y + 1; y (x) = Ce* – 1, y(0) = 5
Transcribed Image Text:In Problems 17 through 19 first verify that y(x) satisfies the given differential equation. Then determine a value of the con- stant C so that y(x) satisfies the given initial condition. Use a computer or graphing calculator (if desired) to sketch several typical solutions of the given differential equation, and high- light the one that satisfies the given initial condition. 17. y' + y = 0; y(x) = Ce-*, y (0) = 2 18. y' = 2y; y(x) = Ce²x, y(0) = 3 19. y' = y + 1; y (x) = Ce* – 1, y(0) = 5
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ISBN:
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