Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0 a. )= = cos(2t) + sin(2(t − 4π)µ(t − 4π)
Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0 a. )= = cos(2t) + sin(2(t − 4π)µ(t − 4π)
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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Transcribed Image Text:Solve the equation
y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0
y(t) = cos(2t) + — sin(2(t − 4π)µ(t – 4π)
b.
y(t)=sint + sintu(t - 2π)
c. y(t)=sint + sin(t)(u(t - π)
d. y(t) = e-*cost + e¯'sint +(e-(sin(t - π)μ(t - π)
v(t) = ½µ(t – π)sin(2t - 2π) ——sin(2t - 4π)(u(t-2))
a.
e.
a
O C
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