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Find the solution of the initial value problem y" + y - 12y = c², y(0) = 1, y'(0) = 3

Find the solution of the initial value problem y" + y - 12y = c², y(0) = 1, y'(0) = 3

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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5. Find the solution of the initial value problem y"+y-12y=c², y(0) = 1, y'(0) = 3
Transcribed Image Text:5. Find the solution of the initial value problem y"+y-12y=c², y(0) = 1, y'(0) = 3
Expert Solution
Step 1

Consider the initial value problem y''+y'-12y=e2t.

Here given initial conditions are y0=1 and y'0=3.

To determine the solution of given initial value problem.

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