Question: using matlab Find the general solutions to the following linear differential equation. Assume that the initial conditions are assumed to be d 5 y(t)/dt 5

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.

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