A propped cantilever beam of length L is loaded by a parabolically distributed load with maximum intensity

Question:

A propped cantilever beam of length L is loaded by a parabolically distributed load with maximum intensity q0 at B.
(a) Use the fourth-order differential equation of the deflection curve to solve for reactions at A and B and also the equation of the deflection curve.
(b) Repeat (a) if the parabolic load is replaced by q0 sin ( πx/2L).