Solve using matlab and explain steps

Part 2: (Variable Coefficient Equations) A linear second-order differential equation that can be expressed in the form at y" + bty' Hey - f (t ) where a, b, and c are constants, is called a Cauchy- Euler equation. We consider the homogeneous c is case (f (t) - 0) in this part. Note that the solutions should have the form y - th, because then ty", ty', and y all have the form (constant ) x th. (a) Show that substituting y - t into the Cauchy-Euler equation yields the character- istic equation ar + (b- a)r + c = 0. (b) Find the roots of the characteristic equations of by" + 7ty . 7y - 0, then find the general solution to this equation. (c) Find the general solution to 4 y&quot