boundary-value

boundary-value

In Problems 31 and 32 determine whether it is possible to find values y0 and y1 (Problem 31) and values of L > 0 (Problem 32) so that the given boundary-value problem has (a) precisely one nontrivial solution, (b) more than one solution, (c) no solution, (d) the trivial solution.
31. y” + 16y = 0, y(0) = y0, y(p/2) = y1

32. y” + 16y = 0, y(0) = 1, y(L) = 1