(Reduction of order) The function y1 = x-1/2cosx is one solution to the differential equation x2y" + xy' + (x2 - 1/4) = 0. Use the method of reduction of order to find another linearly independent solution.
The Attempt at a Solution
I divided x2 to both sides to get the equation into y" + py' + qy = 0
y" + (1/x)y' + ((1 - (1/4x2)) = 0
Using Abel's method
= c e-ln x
y2 = -c lnx[/B]
Am I doing this right?