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(4) Use the method of variation of parameters to find a particular solution of the given differential equation: e2x-e-2x 2 (a) y” – 4y = sinh(2r). Note: sinh(2x)= (b) y" +9y=sin(3x).

(4) Use the method of variation of parameters to find a particular solution of the given differential equation: e2x-e-2x 2 (a) y” – 4y = sinh(2r). Note: sinh(2x)= (b) y" +9y=sin(3x).

Advanced Engineering Mathematics
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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(4) Use the method of variation of parameters to find a particular solution of the given differential equation: (a) \( y'' - 4y = \sinh(2x) \). Note: \( \sinh(2x) = \frac{e^{2x} - e^{-2x}}{2} \). (b) \( y'' + 9y = \sin(3x) \).
Transcribed Image Text:(4) Use the method of variation of parameters to find a particular solution of the given differential equation: (a) \( y'' - 4y = \sinh(2x) \). Note: \( \sinh(2x) = \frac{e^{2x} - e^{-2x}}{2} \). (b) \( y'' + 9y = \sin(3x) \).
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