Solve the following Laplace Transform:
x````(t) + x```(t) = sint where: x(0)=x`(0)=x```(0) = 0 and x``(0)=2
I believe I manipulated it correctly to the following:
X(s) = 1/(s^4+s^3)(s^2+1) + 2/s^3
Now I do not know how to manipulate this using partial fractions method. The denominator of the 1st RHS term is confusing me. Is there anyone that could help?