-x)y' + y = x²e²x, x>0, V₁(x) = 1 + x, -3)e²x + 1)e²x -x²)e²x - 1)e²x - 1)e²x

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
A particular solution of
xy"
a.
b.
c.
d.
(1+x)y' + y = x²e²x, x>0, V₁(x) = 1 + x, V₂(x) = ex
1
-(x + 3)e²x
3
4(x + 1)e²x
3(x-x²)e²x
1/(x-1
-(x - 1)e²x
2
e. 3(x² - 1)e²x
Transcribed Image Text:A particular solution of xy" a. b. c. d. (1+x)y' + y = x²e²x, x>0, V₁(x) = 1 + x, V₂(x) = ex 1 -(x + 3)e²x 3 4(x + 1)e²x 3(x-x²)e²x 1/(x-1 -(x - 1)e²x 2 e. 3(x² - 1)e²x
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