Question

Use convolution to compute L

−1 { s 3 (s 2 −3)/3 } *just set up the integral, you do not need to solve it. Write the convolution integral for (f x g)(t) if f(t)=e −3t and g(t)=cos(2t)

Answer 1

To compute the convolution (f * g)(t), set up the integral as follows: (f * g)(t) = ∫ e-3(t-u) * cos(2u) du, evaluated from negative infinity to infinity.

Step-by-step explanation:

The given question involves convolving two functions, f(t) = e-3t and g(t) = cos(2t). To compute the convolution (f * g)(t), we set up the integral as follows:

(f * g)(t) = ∫ e-3(t-u) * cos(2u) du

where the integral is evaluated from negative infinity to infinity.