1. Use the method of variation of parameters to find a particular solution for: a. b. C. d. e. f. dx² d² y dx2 d²y dx² d² dr2 d²y dx² d² y dx² +9y + 4y = tan 3x = y sin 2x sec² 2x 1 1+e-* 3d+2y = dy + 2y = 3e sec x dx 2 dy + y = 14x² ex dx 4e- 1+e-2x
1. Use the method of variation of parameters to find a particular solution for: a. b. C. d. e. f. dx² d² y dx2 d²y dx² d² dr2 d²y dx² d² y dx² +9y + 4y = tan 3x = y sin 2x sec² 2x 1 1+e-* 3d+2y = dy + 2y = 3e sec x dx 2 dy + y = 14x² ex dx 4e- 1+e-2x
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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could you help me with the highlighted section please?

Transcribed Image Text:1. Use the method of variation of parameters to find a particular solution
for:
a.
b.
C.
d.
e.
ď²y + gy
dx²
d² y
dx²
d²
dx²
d².
dx²
d²y
dx²
d² y
dr2
+ 4y
= tan 3x
=
- 3 dy
dx
sin 2x sec² 2x
+ 2y =
=
1
1+e-a
- 2 + 2y = 3e" sec x
2dy + y = 14x² er
y =
4e-2
1+e-2x
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