Hello folks, how should I proceed to solve this differential equation through power series? The problem is:
$$
y'-y = x \\   
y(0) = 0
$$
I know I have use the general form and its derivatives
$$
\sum a_n(x-x_0)^n
$$
My problem is with the alone $x$ variable on the right side. Could someone give me any tips?
Thanks in advance!

$$y'-y = x $$
Power series may seem cool, but you can easily solve it by another way since it is a standard differential equation.
This is an Euler equation.
$$y'+P(x)y=Q(x)$$
$$\implies ye^{\int Pdx}=\int Qe^{\int Pdx}dx$$
