2. Verify that for constants A, B, C and D the function p(x) = Ae* + Be* + C sinx+ D cos x is a solution of the fourth order differential equation y" (x) = y(x) (4) Determine the value of the...

Extracted text: 2. Verify that for constants A, B, C and D the function p(x) = Ae* + Be* + C sinx+ D cos x is a solution of the fourth order differential equation y" (x) = y(x) (4) Determine the value of the parameters A, B, C and D from the conditions ø(0) = 1, ø' (0) = 0, 0" (0) = -1 and ø" (0) = 0