In: Advanced Math
Problem 3: Find a second solution by reduction of order - nonhomogeneous
The given function y1(x) is a solution of the associated homogeneous equation. Use the reduction of order method to find a solution y(x) = u(x)y1(x) of the nonhomogeneous equation.
1. x^2y'' + xy'−4y = x^3, y1 = x^2
2. 2x^2*y'' + 3xy'−y = 1/x , y1 = x^(1/2)