Solve the following equation for y(t) using Fourier Transforms. dy(t) dt - +2y(t) = e¯¹h(t) where h(t) is the Heaviside function: [0,t < 0 1,t ≥ 0 Note: the solution satisfies ly(t) →0 as t→±∞0. h(t) =
Solve the following equation for y(t) using Fourier Transforms. dy(t) dt - +2y(t) = e¯¹h(t) where h(t) is the Heaviside function: [0,t < 0 1,t ≥ 0 Note: the solution satisfies ly(t) →0 as t→±∞0. h(t) =
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:(2). Solve the following equation for y(t) using Fourier Transforms.
dy(t)
+2y(t) = e¯¹h(t)
dt
where h(t) is the Heaviside function:
[0,t <0
1,t≥0
Note: the solution satisfies ly(t) |→0 as t→±∞.
h(t) =
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