Hello, this is my first post so I am not familiar with how to write maths in here. 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?