Complexity of Solving Multi-Potential Schrodinger Equation?

[degerativpart]

Homework Statement

Does anyone now how to solve the Schrödinger equation for a potenital such that: V1(0<x<a), v2(a<x<b), v3(b<x<c). Also i need to write down the condition which gives the possible energy eigenvalues of a particle in the potential. ITs easily to solve the first potential well but when it starts to introducing the two others I feel like I am messing up. Any help would be nice?

Homework Equations

The Attempt at a Solution

 

[turin]

You basically do what you would do in a square well, except that you match the wavefunctions at the boundaries. (I'm assuming that v1, v2 and v3 are constants.)