Laplace transform of \(\displaystyle{f{{\left({t}^{{2}}\right)}}}\) Suppose we know the

Quinn Moses 2022-04-16 Answered
Laplace transform of f(t2)
Suppose we know the Laplace transform of a function f(t):
F(s)=0f(t)estdt
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Answers (1)

muthe2ulj
Answered 2022-04-17 Author has 10 answers
You can change variables t2=x
H(s)=0f(t2)estdt=0f(x)2xesxdx
Now we can express esxx as a Laplace transform, so:
=00f(x)2πtes24text dt dx
=0F(t)2πtes24tdt
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