The given two-parameter family is a solution of the

Last updated: 7/10/2022

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 = c₁e^x cos x + c₂e^x sin x; y" - 2y' + 2y = 0 (a) y(0) = 1, y '(π) = 0 (b) y(0) = 1, y(π) = -1 (c)y(0) = 1, y(π/2) = 1 (d)y(0) = 0, y(π) = 0