(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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 28RE
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