y" + 4y = g(t) sin(t) if 0 _g(t) = { 0 y(0) = 1 y'(0) = 3 t≤2π if 2π t

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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Can you please solve the following IVP using Laplace transforms fully in terms of y(t) = ?

y" + 4y = g(t)
sin(t) if 0
_g(t) =
{
0
y(0) = 1
y'(0) = 3
t≤2π
if 2π
t
Transcribed Image Text:y" + 4y = g(t) sin(t) if 0 _g(t) = { 0 y(0) = 1 y'(0) = 3 t≤2π if 2π t
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