1. Use the method of variation of parameters to find a particular solution for: a. b. C. d. e. f. d² dx² d² dr2 d²y dx² d² y dx² d²y dx² d²y dx² +9y = + 4y 2 3 dy + 2y 1 dx 1+e- 2 dy +2y= 3e sec x Y = dy dx - tan 3x sin 2x sec² 2x = + y = 14x² eª 4e¯z 1+e-2x

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. Use the method of variation of parameters to find a particular solution
for:
a. +9y = tan 3x
b.
C.
d²₂
dx²
d²
d.
dx2
d²y
dx2
d²
dx²
d² y
e. dx²
f. d²y
dx²
+ 4y
-
=
-3 dy
dx
y =
sin 2x sec² 2x
+ 2y
+ 2y
=
1+e-
3e* sec x
+ y = 14x² eª
=
4e-
1+e-2x
Transcribed Image Text:1. Use the method of variation of parameters to find a particular solution for: a. +9y = tan 3x b. C. d²₂ dx² d² d. dx2 d²y dx2 d² dx² d² y e. dx² f. d²y dx² + 4y - = -3 dy dx y = sin 2x sec² 2x + 2y + 2y = 1+e- 3e* sec x + y = 14x² eª = 4e- 1+e-2x
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