using matlab Find the general solutions to the following linear differential equation. Assume that the initial conditions are assumed to be

d⁵y(t)/dt⁵+13 d⁴y(t)/dt⁴+64 d³y(t)/dt³+ 152d²y(t)/dt² +176dy(t)/dt+80y(t)=e^-2t[sin(2t+ pi/3)+cos3t]

y(0)=1, y(1)=3, y(pi) = 2; y(0) = 1; y(1) = 2, find the analytical solution to the problem using MATLAB. Verify the result.