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Laplace Transform of f(t) x cos(t)

  • #1

Homework Statement


Find the Laplace transform of f(t) x cos(t) (multiplication) if the Laplace transform of f(t) is F(s).


Homework Equations


291f841863bc17cdcbb7fc75d0a2ec14.png

70393e2b0002a1a0d393bbd4acc4da9c.png


The Attempt at a Solution



I'm pretty sure I am supposed to use the second equation, however I do not understand how to use it. If you could give me an example on how to find the Laplace Tranform of f(t) x g(t) that would be very helpful.

Thank you
 

Answers and Replies

  • #2
The laplace transform has the following properties.

L{f x g} = F(s)*G(s) (i)

L{f*g} = F(s)xG(s) (ii)

* stands for convolution.

Property (i) is pretty much your eqn 2.
 

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