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(See Solution) 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

Question: 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 \(c_{i}, i=1,2,3,4\) that results when the initial conditions are applied to the general solution.

\(y^{(4)}-3 y^{\prime \prime \prime}+3 y^{\prime \prime}-y^{\prime}=0\),

\[y(0)=y^{\prime}(0)=0, y^{\prime \prime}(0)=y^{\prime \prime \prime}(0)=1\]

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