The given two-parameter family is a solution of the

The given two-parameter family is a solution of the indicated differential equation on the interval (−∞, ∞). Determine whether a member of the family can be found that satisfies the boundary conditions. (If yes, enter the solution. If an answer does not exist, enter DNE.)

y = c ₁ ex cos x + c ₂ ex sin x; y ” − 2y ’ + 2y = 0 (a) y(0) = 1, y '(π) = 0 y = (b) y(0) = 1, y(π) = −1 y = (c) y(0) = 1, y(π/2) = 1 y = (d) y(0) = 0, y(π) = 0