C. c. d²y dx² d² Y 3 dy dx dy +2y= 1 1+e=" 2-T

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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1. Use the method of variation of parameters to find a particular solution
for:
a. +9y
b.
C.
d²₂
dr2
d²
dx²
d² y
dx²
d.
d² y
d.x2
d²y
e. dx2
dx2
+ 4y
=
-
tan 3x
sin 2x sec² 2x
3dy + 2y =
dx
2y + 2y
2dy + y =
y =
4e-
1+e-2x
=
1+ e=
3e* sec x
14x² ex
Transcribed Image Text:1. Use the method of variation of parameters to find a particular solution for: a. +9y b. C. d²₂ dr2 d² dx² d² y dx² d. d² y d.x2 d²y e. dx2 dx2 + 4y = - tan 3x sin 2x sec² 2x 3dy + 2y = dx 2y + 2y 2dy + y = y = 4e- 1+e-2x = 1+ e= 3e* sec x 14x² ex
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