How do I find it? The Laplace transform of L(te^t cos t)

Noe Cowan 2022-11-19 Answered
The Laplace transform of L ( t e t cos t )
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Answers (2)

metodikkf6z
Answered 2022-11-20 Author has 14 answers
Another approach:  L ( e t t c o s t ) = F ( s 1 )
L ( t c o s t ) = d d s ( s s 2 + 1 ) = s 2 1 ( s 2 + 1 ) 2
so the final answer is:
  F ( s 1 ) = ( s 1 ) 2 1 [ ( s 1 ) 2 + 1 ] 2
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Annie French
Answered 2022-11-21 Author has 4 answers
You need the relation
L { t f ( t ) } F ( s )
i.e. multiplication in the time domain corresponds to differentiation in the s-domain (and a negative sign). Since you know F(s), you can easily derive the result.
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