Find the Laplace Transform F(s) = L{f(t)} of the function f(t) = t(sin t + cost).
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. Find the Laplace Transform F(s) = L{f(t)} of the function f(t) = t(sin t + cost).
B. Let y(t) be the solution of the Initial Value Problem
y'' − 3y' + 2y = 2t^2 − 6t + 2, y(0) = 3, y0 (0) = 4.
Find the Laplace transform Y (s) = L{y(t)} and the solution y(t) = L^−1{Y (s)} using the Method of Laplace Transforms.
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