Answer
See below
Work Step by Step
Obtain: $(f * g)=\int^t_0f(t-\xi )g(\xi)d\xi\\
=-\int^0_t f(\omega)g(t-\omega)d\omega\\
=\int^t_0 f(\omega) g(t-\omega) d \omega\\
=g * f$
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 10 - The Laplace Transform and Some Elementary Applications - 10.9 The Convolution Integral - Problems - Page 716: 7
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