In Exercises 22-26 solve the initial value problem. 22. y" - 7y' +6y=-e (17 cos x - 7 sin x), y(0) = 4, y'(0) = 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the method of undetermined coefficients

In Exercises 22-26 solve the initial value problem.
22. y'"- 7y +6y= -e* (17 cos x
7 sin x),
23.
24. y" + 6y +10y = -40e* sinx,
-
y(0) = 4, y'(0) = 2
y(0) = 1, y'(0) = 4
y'(0) = -3
y" - 2y + 2y = −e (6 cos x + 4 sinx),
y(0)=2,
Transcribed Image Text:In Exercises 22-26 solve the initial value problem. 22. y'"- 7y +6y= -e* (17 cos x 7 sin x), 23. 24. y" + 6y +10y = -40e* sinx, - y(0) = 4, y'(0) = 2 y(0) = 1, y'(0) = 4 y'(0) = -3 y" - 2y + 2y = −e (6 cos x + 4 sinx), y(0)=2,
Expert Solution
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Since you have posted multiple questions, so we will solve only the first question for you. Kindly repost the others in the next question.

The given differential equation is:

                       y''-7y'+6y=-ex17cosx-7sinx                   ............(1)

Also, given that:

                                 y0=4 and y'0=2

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