2. Use the method of undetermined coefficients to find a particular solution for: a. +9y = 3x² d² dx²

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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2. Use the method of undetermined coefficients to find a particular solution
for:
a.
b.
d² y
+9y 3x²
dx²
d²y +9y = sin(x)
dx2
d²
C. +9y
d.
f.
d.x2
d²
dx2
cos(3x)
+9y = cos(3x) + 3 sin(x) + e* - x+3
· — sin(x) + cos(3x)
d² y
dx²
=
e2x
y = 2e* - e
Transcribed Image Text:2. Use the method of undetermined coefficients to find a particular solution for: a. b. d² y +9y 3x² dx² d²y +9y = sin(x) dx2 d² C. +9y d. f. d.x2 d² dx2 cos(3x) +9y = cos(3x) + 3 sin(x) + e* - x+3 · — sin(x) + cos(3x) d² y dx² = e2x y = 2e* - e
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