1. Solve the following Euler Equations/initial value problems. a. x²y" +7xy' + 8y = 0 b. 2x2y" - 3xy' + 2y = 0, y(1) = 3, y'(1) = 0 c. 4x²y" +8xy' + y = 0, y(1) = -3, y' (1) = { d. x²y" - xy' + 5y = 0