Question

find the solution of power series (2x^2-X^3)y''+(7x-6x^2)y'+(3-6x)y=0 near zero

Answer 1

Why do you call that a power series? It looks to me like a differential equation. Do you expect the solution to be a power series?

Answer 2

and I have a question also: is y a function of x, or something else?