(cos r- sin r) is a particular solution to y" – 3y' +2y = e" sin x = x2 + 3x + 3 is a particular solution to y" – 3y + 2y = 2x?. Find a Suppose that Yı and that y2 particular solution to each of the following: (a) y" – 3y' + 2y = 3e" sin r + 8a? (b) y" – 3y' + 2y = 4x2 – 6e" sin r

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Suppose that y1 = (cos r- sin r) is a particular solution to y" – 3y' +2y = e² sin x
and that y2 = 2² + 3x + } is a particular solution to y" – 3y' + 2y = 2x?. Find a
particular solution to each of the following:
(a) y" – 3y' + 2y = 3e" sin a + 8x?
(b) у" — Зу +2у — 4л?
6e" sin x
Transcribed Image Text:Suppose that y1 = (cos r- sin r) is a particular solution to y" – 3y' +2y = e² sin x and that y2 = 2² + 3x + } is a particular solution to y" – 3y' + 2y = 2x?. Find a particular solution to each of the following: (a) y" – 3y' + 2y = 3e" sin a + 8x? (b) у" — Зу +2у — 4л? 6e" sin x
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