Solve y" + 2y + 10y = −98(t – 10) + 128(t – 15), y(0) = 1, y'(0) = 3.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
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[42] Solve y" + 2y + 10y = −98(t — 10) + 128(t — 15), y(0) = 1, y'(0) = 3.
[42] y(t) = e 'cos 3t+fe'sin 3t-3u(t-10)e (10) sin 3(t-10)+4u(t-15)e (15) sin 3(t-15)
Transcribed Image Text:[42] Solve y" + 2y + 10y = −98(t — 10) + 128(t — 15), y(0) = 1, y'(0) = 3. [42] y(t) = e 'cos 3t+fe'sin 3t-3u(t-10)e (10) sin 3(t-10)+4u(t-15)e (15) sin 3(t-15)
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