# How to Solve this ODE with Mixed Boundary condition

I have an ODE equation which is sort of

y''[x] + 2 y'[x]/x + .0001 (y[x])^3 ==0


subject to the boundary conditions

y'[0]==0  and y[Infinity]==0


Can anyone please suggest what would be a reliable process for solving this numerically in Mathematica?

y[Infinity] can obviously be truncated down to , say, y[20].

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Check the NDSolve docs and examples! – Szabolcs May 16 '12 at 17:47
The examples do not address the situation that at x=0 the y'[x]/x term is undefined. – adm May 17 '12 at 5:39
I see what is the difficulty now. Please, next time indicate the problem clearly in the question. Lately there have been several questions where the OP clearly hasn't even looked at the docs. On first read yours sounds like "how do I solve a diff eq numerically", so people will dismiss it without even looking at the ODE. – Szabolcs May 17 '12 at 7:18
y[x] == 0 is a solution to your differential equation. – Szabolcs May 17 '12 at 7:19
Yes it is - but I am pretty certain that there are other non-trivial solutions – adm May 17 '12 at 14:22