Question

@dan815 45 minutes before my exam, trying to crunch in some solutions prior.

Answer 1

\[\mathcal{L^{-1}}\left\{\vphantom{}\frac{3s-1}{s^2-s-6}\right\}\]

Answer 2

@mathstudent55

I'm thinking of splitting them up into two separate Laplaces by the numerator, but I'm not sure how to move forward from there.

Answer 3

@dumbcow

Answer 4

\[ \frac{3s}{s(s-1)-6} -\frac{1}{s(s-1)-6}\]

Answer 5

Partial fractions:
\[\frac{3s-1}{s^2-s-6}=\frac{A}{s-3}+\frac{B}{s+2}\]

Answer 6

Heyoo, I think I passed, lol, looks like I won't have to deal with this for a little.