Problem 4 (60 pts) Solve the nonhomogeneous linear system using the Laplace Transform (or any method you like) using the given initial conditions.
x^(')=Bx+[[cos(t)],[-sin(t)]], given ,x(0)=[[x_(1)(0)],[x_(2)(0)]]=[[0],[0]]
with
B=[[1,-2],[9,-5]]