1. The problem statement, all variables and given/known data Is y = x^2 a solution to the DE [tex]y'' - 4xy' + 4y = 0[/tex] 3. The attempt at a solution So: [tex]y = x^2[/tex] [tex]y' = 2x[/tex] [tex]y'' = 2[/tex] [tex] 2 - 4x(2x) + 4x^2 = 0[/tex] [tex] 2 - 8x^2 + 4x^2 = 0[/tex] [tex] 2 - 4x^2 = 0[/tex] But doing this I won't get an answer of whether it is a solution or not. I get a variable equal to a number. So what can I do differently? How do I solve this? Thanks in advance.