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I am really stuck at quite a complicated (from my point of view) differential equation. I would really appreciate any hints or suggestions on how to tackle and solve it if it is possible, thanks!

$$(\frac{x^{n-1}-y^{n-1}}{n-1})-(\frac{x^{n-2}-y^{n-2}}{n-2})p=\frac{1}{2}y^{n-3}(p-y)^2y'(x)$$

*and*

**p***- parameters*

**n**where $$n≥3,\ p<x<1$$