2. Use the method of undetermined coefficients to find a particular solution for: a. b. dx2 +9y = 3x² - 1 +9y = sin(x)
2. Use the method of undetermined coefficients to find a particular solution for: a. b. dx2 +9y = 3x² - 1 +9y = sin(x)
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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can you help me with the highlighted portion please?
Transcribed Image Text:2. Use the method of undetermined coefficients to find a particular solution
for:
a.
b.
C.
d.
f.
d²
dx²
dx²
d² y
dx²
+9y 3x² 1
+9y = sin(x)
+9y:
cos (3x)
+9y = cos(3x) + 3 sin(x) + e* -x +3
y = 2e" e² — sin(x) + cos(3x)
=
=
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