1. For each IVP, find Y(s), the Laplace transform of the solution y(t). a) y" + y − 6y = 3 sin(πt), y(0) = 2, y'(0) = 3 b) y" + 4y = t²e-3t +S(t = π), y(0) = 4, y'(0) = −1 c) y" +10y" = t(1 — u(t — 2)), y(0) = 0, y'(0) = 1, y"(0) = 0

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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1. For each IVP, find Y(s), the Laplace transform of the solution y(t).
a) y" + y − 6y = 3 sin(πt), y(0) = 2, y'(0) = 3
b) y" + 4y = t²e-3t
+ 8(t = π), y(0) = 4, y'(0) = −1
c) y" + 10y" = t(1 — u(t − 2)), y(0) = 0, y′(0) = 1, y″(0) = 0
Transcribed Image Text:1. For each IVP, find Y(s), the Laplace transform of the solution y(t). a) y" + y − 6y = 3 sin(πt), y(0) = 2, y'(0) = 3 b) y" + 4y = t²e-3t + 8(t = π), y(0) = 4, y'(0) = −1 c) y" + 10y" = t(1 — u(t − 2)), y(0) = 0, y′(0) = 1, y″(0) = 0
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