Find the Laplace transform of the solution to the initial-value problem: x" + 2x' + x = f(t) and x(0) = x'(0) = 0, with: ) = { f(t) = 2, t, if 0 ≤ t ≤ 2, if t > 2.
Find the Laplace transform of the solution to the initial-value problem: x" + 2x' + x = f(t) and x(0) = x'(0) = 0, with: ) = { f(t) = 2, t, if 0 ≤ t ≤ 2, if t > 2.
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:Find the Laplace transform of the solution to the initial-value problem: x" +2x' + x = f(t) and
x(0) = x'(0) = 0, with:
f(t) = {
2,
t,
if 0 ≤ t ≤ 2,
if t > 2.
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