Frequency Response of an analog system?

[paulie walnuts]

An input of 2.δ(t) is applied to a system and produces the response

y(t)=6.e^-2t - 4.e^-3t

Find an expression for the systems frequency response.

 

[Dalibor]

I suppose that delta(t) is the Dirac impulse.
Then the impulse response is
h(t)=3*exp(-2*t)-2*exp(-3*t)
and the transfer function H(s) is its Laplace transform, thus
H(s)=3/(s+2)-2/(s+3)=(s+5)/(s^2+5*s+6).
Frequency response can be obtained after the substitution
s=jw.