Inverse Transformations of ODEs

[kikko]

Homework Statement

F(s) = s/((s-1)(s^2+1))

F(s) = (s/(s^2+4s+5))(e^(-3s))

Homework Equations

Don't believe there are any.

The Attempt at a Solution

Not particularly sure. I can solve ((s-2)(e^-s))/(s^2-4s+3), but seem to be having problems with these.

 

[hunt_mat]

Are you referring to Laplace transforms?

 

[kikko]

Yes. I started the second by making the bottom more condensed and finding a G(s) separate of F(s), but am stuck here.

 

[hunt_mat]

My advice is to use partial fractions on:
$$\frac{s}{s^{2}+4s+5}$$
and use a look up table.