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(a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y = -9e2* and У — бу' + 5у %3D 5x? + 3х — 16. (b) Use part (a) to find particular solutions of y" - 6y' + 5y = 5x² + 3x – 16 – 9e2x and y" – 6y' + 5y = –10x² – 6x + 32 + e²x.

(a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y = -9e2* and У — бу' + 5у %3D 5x? + 3х — 16. (b) Use part (a) to find particular solutions of y" - 6y' + 5y = 5x² + 3x – 16 – 9e2x and y" – 6y' + 5y = –10x² – 6x + 32 + e²x.

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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=x + 3x are, respectively, (a) Verify that yp = 3e* and y, particular solutions of y" – 6y' + 5y = -9e2x and У — бу' + 5у %3D 5x? + 3х — 16. (b) Use part (a) to find particular solutions of у" — бу' + 5у %3D 5x2 + 3х — 16 — 9е2г and y" – 6y' + 5y = – 10x² – 6x + 32 + e2*.
Transcribed Image Text:=x + 3x are, respectively, (a) Verify that yp = 3e* and y, particular solutions of y" – 6y' + 5y = -9e2x and У — бу' + 5у %3D 5x? + 3х — 16. (b) Use part (a) to find particular solutions of у" — бу' + 5у %3D 5x2 + 3х — 16 — 9е2г and y" – 6y' + 5y = – 10x² – 6x + 32 + e2*.
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