When U(x)is Infinitely Large Elsewhere,the Wave Function of a Particle $\Delta$

Multiple Choice

When U(x) is infinitely large elsewhere,the wave function of a particle restricted to the region 0 < x < L where U(x) = 0,may have the form $\Delta$ (x) =

A) $A \sin \left( \frac { n \pi x } { L } \right)$ .
B) $B \cos \left( \frac { n \pi x } { L } \right)$ .
C) Ae^{n $\pi$ x / L}.
D) $A \sin \left( \frac { n \pi x } { L } \right) + B \cos \left( \frac { n \pi x } { L } \right)$ .
E) $A \sin \left( \frac { n \pi x } { L } \right) - B \cos \left( \frac { n \pi x } { L } \right)$ .