d²y + gy dx2 12 = tan 3x

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
1. Use the method of variation of parameters to find a particular solution
for:
d²y
a. +9y
dx²
d²
b.
+ 4y
C.
d.
e.
f.
dx²
d² y
dx2
dx²
d² y
dx²
-
=
=
3dy
dx
tan 3x
sin 2x sec² 2x
1
1+e-a
+ 2y:
=
+ 2y = 3e sec x
= 14x ³² eª
2 dy + y =
y =
4e-
1+e-2x
Transcribed Image Text:1. Use the method of variation of parameters to find a particular solution for: d²y a. +9y dx² d² b. + 4y C. d. e. f. dx² d² y dx2 dx² d² y dx² - = = 3dy dx tan 3x sin 2x sec² 2x 1 1+e-a + 2y: = + 2y = 3e sec x = 14x ³² eª 2 dy + y = y = 4e- 1+e-2x
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