I have the equation:
$$xy' = \mu x^2 + \ln y \quad y(1)=1$$
I am given the polynomial:
$$y(x,\mu) = y_0(x)+\mu y_1(x) + \mu^2 y_2(x) \ldots$$
I honestly do not know how to approach this topic at all, (which topic should I study?). Please advice how to proceed. The only idea I had is to substitute $y(x,\mu )$ into the equation, but then what?