What's the solution of the following ODE y/ - 4 y = x a. C1 e* + C2 e* - 1/8 + x²/4 b. C1 e2x + C2 e 2x - 1/8 - x2/4 C. others d. C1 ex + C2 e* + 1/8 - x²/4 e. C1 e2x - C2 e2x - 1/8 + x²/4 f. C1 e2x + C2 e 2x - 1/8 g. C1 e2x + C2 e 2x - x²/4

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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Question
What's the solution of the following
ODE
y/ - 4 y = x?
a. C1 ex + C2 e* - 1/8 + x2/4
b. C1 e2x + C2 e2x - 1/8 - x2/4
C. others
d. C1 ex + C2 e* + 1/8 - x2/4
e. C1 e2x - C2 e 2x - 1/8 + x2/4
f. C1 e2x + C2 e 2x - 1/8
g. C1 e2x + C2 e 2x - x²/4
Transcribed Image Text:What's the solution of the following ODE y/ - 4 y = x? a. C1 ex + C2 e* - 1/8 + x2/4 b. C1 e2x + C2 e2x - 1/8 - x2/4 C. others d. C1 ex + C2 e* + 1/8 - x2/4 e. C1 e2x - C2 e 2x - 1/8 + x2/4 f. C1 e2x + C2 e 2x - 1/8 g. C1 e2x + C2 e 2x - x²/4
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