Solve the differential equation using Laplace Transform. (a) y" – 2y' + 5y = 8e'sin2t, y(0) = 1, y'(0) = -1

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Solve the differential equation using Laplace Transform.
(a) y" – 2y' + 5y = 8e'sin2t,
у (0) 3 1, у'(0) — — 1
(b) у" — у" + 4y' — 4у 3D 10е-t, у(0) — 5, у'(0) — —2, у" (0) — 0
y(0) = 5, y'(0) = -2,
Transcribed Image Text:Solve the differential equation using Laplace Transform. (a) y" – 2y' + 5y = 8e'sin2t, у (0) 3 1, у'(0) — — 1 (b) у" — у" + 4y' — 4у 3D 10е-t, у(0) — 5, у'(0) — —2, у" (0) — 0 y(0) = 5, y'(0) = -2,
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