Use a CAS as an aid in solving the auxiliary equation. Form the general solution of the

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Use a CAS as an aid in solving the auxiliary equation. Form the general solution of the differential equation. Then use a CAS as an aid in solving the system of equations for the coefficients ci, i = 1, 2, 3, 4 that results when the initial conditions are applied to the general solution.

y(4) - 3y''' + 3y'' – y' = 0,

y(0) = y'(0) = 0, y''(0) = y'''(0) = 1

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