Consider the equation(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\frac{a_n-a_{n-1}}{1+a_na_{n-1}}=\frac{1}{2n^2}[/tex]

I know one special solution is

[tex]a_n=\frac{n}{n+1}[/tex]

But how to solve and find the general solution?

Thanks in advance.

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# A nonlinear difference equation

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