= 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x – 16 Verify that yp, %3D
= 3e2x and y,, = x² + 3x are respectively solutions of у" - бу' + 5у -9е2х y" – 6y' + 5y = 5x² + 3x – 16 Verify that yp, %3D
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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Hi, can you help me to solve the problem in the image?
Thanks
Transcribed Image Text:Verify that yp, = 3e2x and y,, = x² + 3x are respectively solutions of
а.
y" – 6y' + 5y = -9e2x
у" — бу' + 5у — 5x2 + 3x — 16
-
b.
Use part (a) to find a particular solution of
у" — бу' + 5у %3D 5x2 + Зх — 16 — 9е2х
у" — бу' + 5у%3D —10х2 — 6х + 32+ e2x
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