# Tag Info

Interesting equation. It seems to be necessary to use the asymptotic solution as the boundary at $x=x_0$ if you want to solve the equation correctly. Thanks to this answer, we can easily get the series solution at $x=0$ with seriesDSolve: eq1 = 1/5 (y[x] - 2 x y'[x]) == D[(x y'[x])/y[x] + x y[x]^3 D[D[x y'[x], x]/x, x], x]/x; bc1 = y[x] - 2 x y'[x] == 0; ...