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Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 cos t - 1 sin t v(t) = e'c 4. cos 2t + 3 e' sin 2t + 20 cont - 1o cost - sin t

Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 cos t - 1 sin t v(t) = e'c 4. cos 2t + 3 e' sin 2t + 20 cont - 1o cost - sin t

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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Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 os t - 1 sin t 4. cos 2t + 3 e' sin 2t + 20 1 y(t) = e'c Cos t - sin t 10 y(t) = cje2t + czte2t + cost – sin t 1 cos t - 1 y(t) 8 cost - sin t + sin t y(t) = 2e2t + 3te2t + cost – 4 sint
Transcribed Image Text:Solve - 2y' + 5y = cost y(0) = 1 y'(0) = 1. 1 cos t - 1 y(t) = 2e2t cos t + 3e2t sin t + sin t y(t) = 2e' cos 2t + 3e' sin 2t + 1 os t - 1 sin t 4. cos 2t + 3 e' sin 2t + 20 1 y(t) = e'c Cos t - sin t 10 y(t) = cje2t + czte2t + cost – sin t 1 cos t - 1 y(t) 8 cost - sin t + sin t y(t) = 2e2t + 3te2t + cost – 4 sint
22 3 2t 25 y(t) te2t + 3 cost – 4 sin t y(t) = c1e' cos 2t + c2e' sin 2t + 1 1 cos t - sin t O the correct answer does not appear in this list 3 cost + 4 3 y(t) = 2e2t cost + 3e2t sin t + sin t 4 11 e2t 25 3 -te2t 25 y(t) + cost – 4 sin t 3 -e² sin 2t + 10 1 y(t) = et cos 2t + cost - sin t 12 1 y(t) = e2" cos t +e2t sin t + 1 cost - sin t y(t) = 2e2t + 3te2t – cos t – 3 sin t 1 cost - 3 1 sin t 12 y(t) = 2e' cos 2t + 3e' sin 2t + y(t) = cje2" cos t + c2e2t sint + Cos t - sin t O O
Transcribed Image Text:22 3 2t 25 y(t) te2t + 3 cost – 4 sin t y(t) = c1e' cos 2t + c2e' sin 2t + 1 1 cos t - sin t O the correct answer does not appear in this list 3 cost + 4 3 y(t) = 2e2t cost + 3e2t sin t + sin t 4 11 e2t 25 3 -te2t 25 y(t) + cost – 4 sin t 3 -e² sin 2t + 10 1 y(t) = et cos 2t + cost - sin t 12 1 y(t) = e2" cos t +e2t sin t + 1 cost - sin t y(t) = 2e2t + 3te2t – cos t – 3 sin t 1 cost - 3 1 sin t 12 y(t) = 2e' cos 2t + 3e' sin 2t + y(t) = cje2" cos t + c2e2t sint + Cos t - sin t O O
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