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) Find the general solution of the following inhomogeneous ODE by using a combination of "guesses" for the particular integral. y"+y=e¹+cos(4x).

) Find the general solution of the following inhomogeneous ODE by using a combination of "guesses" for the particular integral. y"+y=e¹+cos(4x).

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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(a) Find the general solution of the following inhomogeneous ODE by using a combination of "guesses" for the particular integral. y"+y=e+cos(4x). (b) For the same ODE as given above, use variation of parameters to arrive at your solution and verify they are the same.
Transcribed Image Text:(a) Find the general solution of the following inhomogeneous ODE by using a combination of "guesses" for the particular integral. y"+y=e+cos(4x). (b) For the same ODE as given above, use variation of parameters to arrive at your solution and verify they are the same.
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Step 1: Determine the roots and complementary solution.

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