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The question requires me to solve the wave equation for a pacticle in a infinity potential well, from x=-l/4 to x= 3l/4

I let the wave equ be the form

Asinkx + B cos kx

and i got.

Asin(-kl/4) + B cos (-kl/4) = 0

and

Asin(3kl/4) + Bcos(-3kl/4) = 0

and than i can't do anymore

it is different from to x=0 to x= a case

What should i do? Any tips?

Is there any general solution for the wave fuction of the pacticle in a box from a point x to y?