Please answer parts a) and b) as soon as possible; this was posted a few days ago and no one responded but I really need the help.

8. In the class, we have discussed how to solve the following wave equation x22(x,t)=v21t22(x,t) by taking the wavefunction in the form of (x,t)=(x)f(t) Then, we showed that eq. (1) can be solved by solving the following two ordinary differential equations, dx2d2(x)=K(x) and dt2d2f(t)=Kv2f(t) where K is a constant. In eq. (3), we discussed the solution when K0. (b) Show that the above solution yields only trivial solution (i.e., (x)=0 ) when the boundary conditions are (0)=0 and (l)=0