wave function in infinite square well, with potential step

1. The problem statement, all variables and given/known data
A Particle energy A trapped in infinite square well. U(x)=0 for 0<x<L and U(x)=U0 for L<x<2L. find the wave function of the particle when A) E>U0 B) E<U0 C) E=U0.

2. Relevant equations
1-D time independent Schrodinger equation.

3. The attempt at a solution

I have the correct wavefunctions for the particle from 0<x<L and L<x<2L ,(have checked solutions) however I dont understand how to write join them together into one function.

any help would be appreciated, I am new to this subject so please go easy on me haha.

thanks in advance,



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