im completely lost with this differential equation problem in w/c you eliminate its arbitrary constants

$\displaystyle y = c_{1}x^2 + c_{2}e^{2x}$

derivating

$\displaystyle y' = 2c_{1}x + 2c_{2}e^{2x}$

$\displaystyle y'' = 2c_{1} +4c_{2}e^{2x}$

i just do not know what to equate can you please help me w/ this

answer:

$\displaystyle x(1-x)y'' + (2x^2 - 1)y' - 2(2x - 1)y = 0$