Question

find the inverse laplace transform of L^-1(S^2+9s-9/s^3-9s)​

Answer 1

Answer:

Use

L(eatcosbt)=s−a(s−a)2+b2

and

L(eatsinbt)=b(s−a)2+b2

Using Partial fraction

9s−24(s−3)2+22=A(s−3)(s−3)2+22+B⋅2(s−3)2+22

where A,B are arbitrary constants

Can you take it from here?