Problem # p011

Deflection of Canti-Lever Beam

For the canti-lever beam shown determine the equation for the deflection δ and slope Θ at the left-most end of the beam. This equation will contain the lengths a and L, the force P, as well as the moment of inertia, I, of the beam and the modulus of Elasticity of the material of the beam.
Given are the slope and deflection directly under force P :

Please show all of your work. A sketch might come in handy indicating in particular the type of curve for the beam to the left of P.