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2. Use method of undetermined coefficients to find general solution to the following equations: (a) x²y" - 2y = sin ln |x| 201

2. Use method of undetermined coefficients to find general solution to the following equations: (a) x²y" - 2y = sin ln |x| 201

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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2. Use method of undetermined coefficients to find general solution to the following equations: (a) x²y" - 2y = sin ln |x| (b) (x-2)2y"-3(x-2)y + 4y = x. Hint: use change of variables t = x - 2. (c) y" - 4y = x² + e² (d) y" + y = sinx (e) y" + 2y' - 3y = 2+2 cos²x. Hint: use trigonometric identities.
Transcribed Image Text:2. Use method of undetermined coefficients to find general solution to the following equations: (a) x²y" - 2y = sin ln |x| (b) (x-2)2y"-3(x-2)y + 4y = x. Hint: use change of variables t = x - 2. (c) y" - 4y = x² + e² (d) y" + y = sinx (e) y" + 2y' - 3y = 2+2 cos²x. Hint: use trigonometric identities.
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