Solve the following differeantial equation. у"+ 4y + 3у — 60сos3t, у(0) — 1, у'(0) — —1 О а. у(€) — Без — е t+ 2сos3t + 4sin3t О Б. у(t) — Бе 3ы — 2е - 2сos3t + 4sin3t O c. y(t) = 5e-3t + 2e-t + 2cos3t + sin3t O d. y(t) = e-3t – e-t + 4sin3t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve the following differeantial equation.
y" + 4y' + 3y = 60cos3t, y(0) = 1, y'(0) = -1
O a. y(t) = 5e# – e++ 2cos3t + 4sin3t
O b. y(t) = 5e-3t – 2et – 2cos3t + 4sin3t
O c. (t) = 5e-3t + 2e t + 2cos3t + sin3t
O d. y(t) = e 3t – e-t + 4sin3t
Transcribed Image Text:Solve the following differeantial equation. y" + 4y' + 3y = 60cos3t, y(0) = 1, y'(0) = -1 O a. y(t) = 5e# – e++ 2cos3t + 4sin3t O b. y(t) = 5e-3t – 2et – 2cos3t + 4sin3t O c. (t) = 5e-3t + 2e t + 2cos3t + sin3t O d. y(t) = e 3t – e-t + 4sin3t
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