I have a beam rigidly secured at one end (a diving board) and want to find the deflection of the beam when a mass is applied at the end. 

I have the differential equation

eq := diff(v(x), x, x) = P*x/(E*Iz) # E youngs modulus and Iz the moment properties of the diving board. 

The solution says to integrate to get deflected slope of the board.

int(rhs(eq))