1. Problem Statement Okay so I know these appear to be simple but for some reason I am having trouble finding the methods by which to solve them. Problem 1: This problem must be solved by reduction of order method and cannot use the y2 formula. (1 - x^2)y'' + 2xy' = 0; y1 = 1 Problem 2: This problem must be solved by reduction of order method and cannot use the y2 formula. 4x^2y'' + y = 0; y1 = [x^(1/2)]ln|x| 2. Relevant equations y2 / y1 = u (x) y2 = u (x) * y1 (x) y' = u'x + u y'' = u''x +2u' 3. The attempt at a solution The general form for the problem is: I have been trying to use Paul's Notes (http://tutorial.math.lamar.edu/Classes/DE/ReductionofOrder.aspx) to help me along the way but I am unable to follow for the lack of the teacher not exactly teaching the problems. Any help getting towards the right direction would be much appreciated. Thank you.