Question

Please help me solve the given inverse Laplace transform...(click to see)

Answer 1

\[L ^{-1} \frac{ s }{ (s ^{2}+4)(s+2) }\]

Answer 2

Remember how to set up the Partial Practions?
\[\Large \frac{s}{(s^2+4)(s+2)}\quad=\quad \frac{As+B}{s^2+4}+\frac{C}{s+2}\]

Answer 3

Ok I think I remember doing that

Answer 4

I know decomposition but I forgot this particular method

Answer 5

I'll try that

Answer 6

If it's foggy, see Khan
http://www.khanacademy.org/math/trigonometry/polynomial_and_rational/partial-fraction-expansion/v/partial-fraction-expansion-1