pls show all steps thanks

9. Concerning the finite barrier problem, let's think about what happens when a particle hits a barrier (region II) with the same amount of energy as the potential, i.e. E=V. Free wavefunctions in the presence of a flat potential are the solution to: H=2m2x22(x)+V(x)=E(x) which can be simplified to: 2m2x22(x)=(EV)(x) For region II, the wavefunction has a general solution of the form: (x)=Ceik2x+Deik2x, where C and D are constants and k2 is defined as: k2=2m(EV). Since E=V, then k2=0, and as a result it turns out that II(x)=C+Dx is a valid solution. Can you show that this wavefunction is a solution to 2m2x22(x)=(EV)(x)? (5 pts)