8. y" - 2y' + 2y = e* sin x 9. y"+y= sec x tan x
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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Help with 8 and 9 and please show the work!
Transcribed Image Text:For Problems 1–12, use the method of variation of parameters to find a particular solution of the given nonhomogeneous equation. Then find the general solution of the equation.
1. \( y'' = 1 \)
2. \( y'' + y = 1 \)
3. \( y'' - y = x + 1 \)
4. \( y'' - y = 5e^x \)
5. \( y'' + y' = 4x \)
6. \( y'' + y' = e^{-x} \)
7. \( y'' + y = \sin x \)
8. \( y'' - 2y' + 2y = e^x \sin x \)
9. \( y'' + y = \sec x \tan x \)
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