-xX 2) y"+2y+y = xe

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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I need detailed help solving (2), please.

Solve the following non-homogeneous differential equations:
1)_x"(t) + x(t) = 2 cost
- X
2) y"+2y+y = xe
3) x²y"-2xy'+2y = x lnx (Hint: by change of variable, let x=e¹)
Transcribed Image Text:Solve the following non-homogeneous differential equations: 1)_x"(t) + x(t) = 2 cost - X 2) y"+2y+y = xe 3) x²y"-2xy'+2y = x lnx (Hint: by change of variable, let x=e¹)
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