Solve the following ODE y + 2 y +y = X + ex (C1 + x C2) e* -2 + e2x / 9 .a (C1 + x C2) e* + (x -2) + e2x .b (x C1 + C2) e* + (x -2) + e2× / 9 .C (C1 + x C2) e* + x + e2x / 9 .d others .e (C1 + x C2) e* + (x -2) + e²× / 9 .f (C1 + C2) e* + (x-2) + ex / 9 .g o

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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Solve the following ODE
y + 2 y +y = x + e2x
%3D
(C1 + x C2) e* -2 + e2x / 9
.a
(C1 + x C2) e* + (x -2) + e2x
.b
(x C1 + C2) eX + (x -2) + e2× /9
.C
(C1 + x C2) e* + x + e2x / 9
.d
others
.e
(C1 + x C2) e* + (x -2) + e²× / 9
.f
(C1 + C2) eX + (x -2) + e2× / 9 .g O
Transcribed Image Text:Solve the following ODE y + 2 y +y = x + e2x %3D (C1 + x C2) e* -2 + e2x / 9 .a (C1 + x C2) e* + (x -2) + e2x .b (x C1 + C2) eX + (x -2) + e2× /9 .C (C1 + x C2) e* + x + e2x / 9 .d others .e (C1 + x C2) e* + (x -2) + e²× / 9 .f (C1 + C2) eX + (x -2) + e2× / 9 .g O
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