y" + 4y = 2 sin(6x)+ 6x²e¬3z + 5x,
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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Question
4)
Transcribed Image Text:For the linear differential equation,
y" + 4y = 2 sin(6x) + 6x²e-3z
+ 5x,
we can say with certainty that the particular solution has the form
a) Yp
Ax sin(6x) + Bx cos(6x) + (Ca² + Dx + E)e¬3¤ + Fx + G
%3D
b) Yp
A sin(6x) + (Bx² + Cx + D)e-3z + Ex + F
c) Yp = A sin(6x)+B cos(6x) + (Cx² + Dx + E)e-3« + Fx + G
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