Use the Laplace Transform to solve the differential equation d²x dt² + 16x = f(t) dx Given further that x=0, = 1 at t=0, and dt f(t) = {cos4t 0≤t≤π 0 t> π
Use the Laplace Transform to solve the differential equation d²x dt² + 16x = f(t) dx Given further that x=0, = 1 at t=0, and dt f(t) = {cos4t 0≤t≤π 0 t> π
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:Use the Laplace Transform to solve the differential equation
d²x
dt²
+ 16x = f(t)
dx
Given further that x=0, = 1 at t=0, and
dt
f(t) = {cos4t 0≤t≤ π
0
t> π
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