In: Advanced Math
a) verify that y1 and y2 are fundamental solutions
b) find the general solution for the given differential equation
c) find a particular solution that satisfies the specified initial conditions for the given differential equation
1. y'' + y' = 0; y1 = 1 y2 = e^-x; y(0) = -2 y'(0) = 8
2. x^2y'' - xy' + y = 0; y1 = x y2 = xlnx; y(1) = 7 y'(1) = 2