I have to find the output signal and the output signal and the frequency response have been given:

Input signal: \(V(t) = 10sin(4 \sqrt{3}.t)\)

Frequency response function: \( H(jw) = \frac{1}{4-jw}\)

I was looking at my notes and noticed this formula:

\(y(t)=\int ^\infty_\infty x(\tau)h(t-\tau) d\tau\)

and: \(H(jw) = \int^\infty_\infty h(t)exp(-jwt) dt\)

(limits should be - infinity for the value of b on both integral limit)

Normally I would write my method but I'm not sure how to use the above formulas..They may even be the wrong formula to use.

thanks for reading and I look forward to your help as always!