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.

2y⁽⁴⁾ + 3y''' - 16y'' + 15y' - 4y = 0,

y(0) = -2, y'(0) = 6, y'''(0) = 3, y'''(0) = 1/2