Is it possible to solve this differential equation?

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We have $f(x,n)$, $g(n)$ and

$$8(n+1)^{3}(n+2)(f(x,n)-g(n))^2f_{x}(x,n+1)=2(n+1)(2f_{x}(x,n)f_{xx}(x,n)(f(x,n)-g(n))-(f_{x}(x,n)^3))$$

Is it possible to solve this?