b) Write down f(t) using the Heaviside function. c) Solvex" + x = f(t), x(0) = 0, x'(0) = 0 using Laplace transform.
b) Write down f(t) using the Heaviside function. c) Solvex" + x = f(t), x(0) = 0, x'(0) = 0 using Laplace transform.
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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Parts b and c
(Also, please write out instead of type)
Transcribed Image Text:Exercise 6.2.11: Define
((t-1)² if 1≤t <2,
if 2 < t < 3,
otherwise.
f(t) = 3-t
0
a) Sketch the graph of f(t).
b) Write down f(t) using the Heaviside function.
c) Solve x" + x = f(t), x(0) = 0, x'(0) = 0 using Laplace transform.
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