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Homework Help: Laplace transform convolution

  1. Nov 10, 2014 #1
    1. The problem statement, all variables and given/known data
    [itex]x(t) = cos(3πt)[/itex]
    [itex]h(t) = e-2tu(t)[/itex]

    Find [itex]y(t) = x(t) * h(t) [/itex](ie convolution)

    2. Relevant equations
    Y(s) = X(s)H(s) and then take inverse laplace tranform of Y(s)

    3. The attempt at a solution
    [itex] L(x(t)) = \frac{s}{s^2+9π^2} [/itex]
    [itex] L(h(t)) = \frac{1}{s+2} [/itex]

    I then try to find the partial fractions but it looks more complicated than it should be..
  2. jcsd
  3. Nov 10, 2014 #2


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    What about u(t) ?
  4. Nov 10, 2014 #3


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    Show us your partial fractions work. It shouldn't be all that hard.
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