Find the Laplace transform for f(t)=2u(t-u)cos^2 2t-6e^(2t+7) delta(t+3)

midtlinjeg

midtlinjeg

Answered question

2021-01-05

Find the Laplace transform for
f(t)=2u(t3)cos22t6e2t+7δ(t+3)

Answer & Explanation

Benedict

Benedict

Skilled2021-01-06Added 108 answers

Step 1
Calculate the Laplace transform:
f(t)estdt=(2u(t3)cos22t6e2t+7δ(t+3))estdt
=2u(t3)cos22testdt6e2t+7δ(t+3)estdt
=23estcos22tdt6e3s+1
=3est(cos4t+1)dt6e3s+1
=3estcos4tdt+3estdt6e3s+1
=3estcos4tdt+1e3ss6e3s+1
=3este4jt+e4jt2dt+1e3ss6e3s+1
=3est+4jt+est4jt2dt+1e3ss6e3s+1

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