differential equation

Consider the differential equation: dx2 4 d3 ) + ( w2 + 4) y - 0 for some positive constant w, which has boundary values: y(0) 0 " ( " ) -0 and general solution: y = ezz (C, sin(w I) | C2 cos(wz)) a. Find a positive value of w. that will cause this boundary value problem to have infinite solutions. W b. Now use your value of w along with appropriate values for C, and C2 to find any non-trivial solution to this boundary value problem. y(I) =