Which of the following are solutions of

Question

2x^2y'' + 5xy' + y = x^2-x on(0,infty)?

Answer 1

Forgot to put the options, didn't know how to go about getting answer, didn't want to just guess.

A. y={x^2}/{15}
B. y= {x^2}/{15}-{x}/{6}
C. y=-{x}/{6}
D. y=x^2-{x}/{6}+{1}/{x}