Find the particular integral of the following differential equation d2y/dx2 +9y =cos3x by first substituting cosαx with e^iαx then use the shift operator and finally extract the real part .Therefore prove that the answer is 1/36(6xsin3x+cos3x)
Find the particular integral of the following differential equation d2y/dx2 +9y =cos3x by first substituting cosαx with e^iαx then use the shift operator and finally extract the real part .Therefore prove that the answer is 1/36(6xsin3x+cos3x)
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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Find the particular integral of the following
d2y/dx2 +9y =cos3x by first substituting cosαx with e^iαx then use the shift operator and finally extract the real part .Therefore prove that the answer is
1/36(6xsin3x+cos3x)
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