Find the nonhomogeneous ODE whose general solution is y=c₁(x+1) ³+c₂(x+1)3³+x-1. (x + 1)² y" + (x + 1) y' - 9y = 10 - 8x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Find the nonhomogeneous ODE whose general solution is
y=c₁(x+1)+c₂(x+1)³+x−1
.
(x + 1)² y" + (x + 1) y' - 9y = 10 - 8x
(x + 1)² y" + (x + 1) y' - 9y = - 8x
(x² +1) y" +(²+1) y' - 9y = 10 - 8x
(²+1) y" + (x + 1) y - 9y = - 8x
D.
(x + 1)² y" + (x + 1) y' - 9y = x - 1
E.
(x² + 1) y" + (x² +1) y' - 9y = x - 1
F.
G. None of the choices
B.
C.
Transcribed Image Text:Find the nonhomogeneous ODE whose general solution is y=c₁(x+1)+c₂(x+1)³+x−1 . (x + 1)² y" + (x + 1) y' - 9y = 10 - 8x (x + 1)² y" + (x + 1) y' - 9y = - 8x (x² +1) y" +(²+1) y' - 9y = 10 - 8x (²+1) y" + (x + 1) y - 9y = - 8x D. (x + 1)² y" + (x + 1) y' - 9y = x - 1 E. (x² + 1) y" + (x² +1) y' - 9y = x - 1 F. G. None of the choices B. C.
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