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02/25/12 12:29pm


I tried to solve numerically this equation by using NDSolve

-y''[x]*x^2 - y'[x]*x + x^2*y[x]^3 + (-x^2 + 1)*y[x] == 0

I know that at x=0 the function must to vanish, instead at infinity it has to tend to 1 (but at x=5 it must to be already near 1)

However, with the condition y[0]=0 Mathematica says

Infinite expression 1/0^2 encountered.

Why? What does it means? I tried whit other boundary conditions but the function always explodes near the origin. Why this problem?

This in not a pure homework as it could seems

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Subject (listing for 'Non linear differential equation')
Author Date Posted
Non linear differential equation Lorentz 02/25/12 12:29pm
Re: Non linear differential equation Nasser M. Ab... 02/26/12 8:56pm
Re: Non linear differential equation jf 02/27/12 8:12pm
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