Hello, this is my first post so I am not familiar with how to write maths in here.(adsbygoogle = window.adsbygoogle || []).push({});

I have a third order ode of the form

y'''+A/y=0 where y=y(x) (A is just a constant) with well defined boundary conditions.

I believe there is no analytic solution to an ode of this form, but I can (by imposing a further condition) solve this numerically for y.

My question is this; I solve this numerically in Maple and one answer pops out. Is there any way I can easily prove this is the only real, non-negative solution?

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# How many solutions?

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