I'm interested in coming up with an function that approximates the solution to a non-linear differential equation. (There is no known closed form solution)(adsbygoogle = window.adsbygoogle || []).push({});

The equation is Y''=(1/Y)(Y')^2-Y*A+Y^2*A where "A" is a constant, and Y' and Y'' are the first and second derivatives with respect to x.

How would I look for approximations to the answer in the literature? Is this equation a member of a certain class of differential equations?

Is there a technique known to work well?

Any help would be appreciated!

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# Approximate Solutions to Non-Linear Differential Equations

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