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Solve variable seprabble differential equation 

From the image, it seems that the equation you are trying to solve is a separable differential equation. The equation written is:

\[
\frac{dx}{dt} + x^2 - x = \frac{p}{t^2 - x^2} - \frac{xp}{t^2 (x-1)}
\]

This equation appears to be quite complex due to the mix of variables. Could you confirm that I have correctly transcribed it from the image? If so, I can guide you through the process of solving it.

If there are any corrections, please let me know!

Solve separable differential equation: x + 2x - x = p(t-x^2)-xp/(x^2 - x)

Learn how to solve a complex separable differential equation involving variables x and t, using separation of variables and algebraic manipulation. This problem requires knowledge of differential equations at the university level.

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