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The function yp(t) is a particular solution of the given differential equation. Determine the function g(t). 17. y" + y – y =g(t), yp(t) = e" – t?

The function yp(t) is a particular solution of the given differential equation. Determine the function g(t). 17. y" + y – y =g(t), yp(t) = e" – t?

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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Please do #17

 

section 3.7

Exercises 17-21: The function yp(t) is a particular solution of the given differential equation. Determine the function g(t). 17. y" + y – y = g(t), yp(t) = e2 – ? 18. y" – 2y' = g(t), yp(t) = 3t + i, t> 0 19. ty" + e'y' + 2y =g(t), yp(t) = 3t, t > 0 20. y" + y = g(1), yp(t) = In (1+t), t> -1 21. y" + (sint)y' + ty =g(t), yp(t) = t + 1
Transcribed Image Text:Exercises 17-21: The function yp(t) is a particular solution of the given differential equation. Determine the function g(t). 17. y" + y – y = g(t), yp(t) = e2 – ? 18. y" – 2y' = g(t), yp(t) = 3t + i, t> 0 19. ty" + e'y' + 2y =g(t), yp(t) = 3t, t > 0 20. y" + y = g(1), yp(t) = In (1+t), t> -1 21. y" + (sint)y' + ty =g(t), yp(t) = t + 1
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