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

how to solve it?

i was told to show first that x and e^x are a solution of some homogeneous equation

i got that it the homogeneous equation?

but the partivular solution is tough

y_p=(ax^2+bx+c)e^x

its hard to differentiate every time