Show that the Fourier series represents the function f(t), of period 2, given by Deduce that, apart

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Show that the Fourier series represents the function f(t), of period 2π, given by

f(t) = t (0 t ) -t (-t0)

Deduce that, apart from a transient component (that is, a complementary function that dies away as t → ∞), the differential equation

dx 1 - + x = f(t) dt has the solution 4 x = - - n=1 cos(2n-1)t + (2n-1) sin(2n-1)t (2n-1)[1+ (2n-1)]

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Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

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Question Posted: Jan 19, 2024 02:03 AM

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Show that the Fourier series represents the function f(t), of period 2, given by Deduce that, apart

Question:

f(t) = t (0 t ) -t (-t0)

Step by Step Answer:

Since ft is an even function is has a Fourier series expansion ao ft 200 ...View the full answer

Modern Engineering Mathematics

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