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4. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t 2t (b) x''' — 21" + 5x' = 4t + 5 - sin 2t - e* cos 2 (c) x'"" - 21""+"=1+2et + 3t sin 4t.

4. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t 2t (b) x''' — 21" + 5x' = 4t + 5 - sin 2t - e* cos 2 (c) x'"" - 21""+"=1+2et + 3t sin 4t.

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. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t (b) I'" - 21" + 5x' = 4t + 5 - sin 2t - et cos 2t (c) x'"" - 21""+"=1+2et + 3t sin 4t.
Transcribed Image Text:4. For the given differential equation write a particular solution with unde- termined coefficients. Do not find the actual values of the coefficients. (a) r" - 3r' + 2x = 3t²e-t + 2tet - t³ + et cos 2t (b) I'" - 21" + 5x' = 4t + 5 - sin 2t - et cos 2t (c) x'"" - 21""+"=1+2et + 3t sin 4t.
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