I am trying to find a solution how to determine the power series solution of the differential equation using Leibnitz - Maclaurin's method.
$ \frac{d^2 x}{dy^2} +5y \frac{dx}{dy}+x=0 $
boundary conditions being $x(0)=5$ and $\frac{dx}{dy}(0)=3$ when $y=0$
Thanks. Joe