Find three linearly independent solutions of the given third-order differential equation and write a general solution as an arbitrary linear combination of them. z"" +5z"-25z' - 125z = 0 A general solution is z(t) = .

Determine the form of a particular solution for the differential equation. Do not solve. y'' - 16y' + 65y = e^4t + tsin6t - cos6t

The indicial equation for the differential equation y"+7y'- 5xy = 0 is O A (r + 7) = 0 %3D O B. (7r - 1) = 0 Oc r-6) = 0 OD (7r + 1) = 0 O E. (* + 6) = 0

Solve a high-order differential equation