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Consider the following functions f(t) and g(t): f(t) = 3t g(t)=sin(61). (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 w integral directly.

Consider the following functions f(t) and g(t): f(t) = 3t g(t)=sin(61). (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 w integral directly.

Advanced Engineering Mathematics
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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Problem #7: Consider the following functions f(t) and g(t): f(t) =3t g(t)=sin(67). (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 w integral directly.
Transcribed Image Text:Problem #7: Consider the following functions f(t) and g(t): f(t) =3t g(t)=sin(67). (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 w integral directly.
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