Math Problem Statement

Solve variable seprabble differential equation

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

Solution

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

dxdt+x2x=pt2x2xpt2(x1)\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!

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Math Problem Analysis

Mathematical Concepts

Differential Equations
Separation of Variables
Algebra

Formulas

dx/dt + x^2 - x = p/(t^2 - x^2) - xp/t^2(x-1)

Theorems

Separation of Variables

Suitable Grade Level

University Level - Calculus III or Differential Equations