- #1
masterchiefo
- 212
- 2
Homework Statement
Use the convolution property to obtain the inverse Laplace transform of
F(s)= e-3s * ((3s+15)/s2+25)
Homework Equations
The Attempt at a Solution
= (3*(s/s2+52) + 15*(1/s2+52)) *e-3s
Using table of Laplace:
3*(s/s2+52) = 3*cos(5*t) = T7
15*(1/s2+52) = 15/5*sin(5*t) =T18
e-3s = s(t-a) = s(t-3) (T16)
=(3*cos(5*t)+15/5*sin(5*t))*s(t-3)
Convolution : int 0 to t (f(u)*g(t-u))du
integral 0 to t ((3*cos(5*u)+15/5*sin(5*u))*s((t-u)-3)) du
Something is wrong in my work here, and I can't find where. :([/SUP]