# Inverse Transformations of ODEs

1. Apr 1, 2012

### kikko

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

Don't believe there are any.

3. 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.

2. Apr 1, 2012

### hunt_mat

Are you referring to Laplace transforms?

3. Apr 1, 2012

### 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.

4. Apr 1, 2012

### hunt_mat

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

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