How do i find the lapalace transorm of this intergral using the convolution theorem? ∫...

phumzaRdY

phumzaRdY

Answered

2022-11-25

How do i find the lapalace transorm of this intergral using the convolution theorem? 0 t e x cos x d x

Answer & Explanation

rezvanifanFdT

rezvanifanFdT

Expert

2022-11-26Added 9 answers

f ( t ) = 0 t e τ cos τ d τ = e t 0 t e t τ cos τ d τ = ( e t ) ( ( x u ( x ) e x ) ( x u ( x ) cos x ) ) ( t )
( L f ) ( s ) = ( L ( x u ( x ) e x ) ) ( s + 1 ) ( L ( x u ( x ) cos x ) ) ( s + 1 ). Note the s+1 parameter to deal with the multiplication by e t
merodavandOU

merodavandOU

Expert

2022-11-27Added 1 answers

So the transform becomes s s 2 + 1 1 s 1 with the shift s + 1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?