Problem #7: Consider the following functions f(t) and g(t): f(t) = 4t g(t) = sin(9t). (a) Find the Laplace transform F(s) of the convolution f*g. (b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution without computing the integral directly. Problem #7(a): Enter your answer as a symbolic function of s, as in these examples Problem #7(b): Enter your answer as a symbolic function of t, as in these examples

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem #7: Consider the following functions f(t) and g(t):
Problem #7(a):
f(t) = 4t g(t)
=
sin(91).
(a) Find the Laplace transform F(s) of the convolution f*g.
(b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution without computing the
integral directly.
Enter your answer as a symbolic
function of s, as in these
examples
Problem #7(b):
Enter your answer as a symbolic
function of t, as in these
examples
Transcribed Image Text:Problem #7: Consider the following functions f(t) and g(t): Problem #7(a): f(t) = 4t g(t) = sin(91). (a) Find the Laplace transform F(s) of the convolution f*g. (b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution without computing the integral directly. Enter your answer as a symbolic function of s, as in these examples Problem #7(b): Enter your answer as a symbolic function of t, as in these examples
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