a) With the aid of Laplace Transform, solve the Initial Value Problem y''(t) - y'(t) = et cos(t) + sin(t); y(0) = 0; y0(0) = 0
a) With the aid of Laplace Transform, solve the Initial Value Problem y''(t) - y'(t) = et cos(t) + sin(t); y(0) = 0; y0(0) = 0
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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(a) With the aid of Laplace Transform, solve the Initial Value Problem
y''(t) - y'(t) = et cos(t) + sin(t); y(0) = 0; y0(0) = 0
(b) Determine the Laplace Transform of the function
g(t) ={2e-3t + 5 cos(2t) 0< t < 5}
g(t) = {3 + t3 t>5}
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