Find the Laplace transform of the given functionbegin{cases}t & 0,4leq t<infty 0 & 4leq t<infty end{cases}Lleft{f(t)right} - ?

remolatg 2020-11-22 Answered

Find the Laplace transform of the given function
{t0,4t<04t<
L{f(t)}?

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Expert Answer

faldduE
Answered 2020-11-23 Author has 109 answers

Step 1
The Laplace transform of a function is given as follows.
L{f(t)}=0f(t)estdt
Here the given function is as follows.
{t0,4t<04t<
Step 2
The Laplace transform of the given function is computed as follows.
L{f(t)}=0f(t)estdt
=04f(t)estdt+4f(t)estdt
=04testdt+4(0)estdt
=04testdt
=tests+04ests[u=tdv=estdu=1v=estsuvvdu]
=[testsests2]04
=4e4sse4ss2[01s2]
=1e4ss24e4ss

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