Answer
See below
Work Step by Step
Obtain: $f * (g+h)=\int^t_0f(t-\xi )g(\xi)d\xi\\
=-\int^0_t f(t-\omega)[d (\omega) +h (\omega)]d\omega\\
=\int^t_0 f(t-\omega) g(\omega) d \omega+\int^t_0 f(t-\omega)h(\omega) d \omega \\
=f*g+f *h $
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: 9
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
