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- Exact Differential Equation
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- Integrate by partial fractions
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- FOIL Method
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Group the terms of the differential equation. Move the terms of the $p$ variable to the left side, and the terms of the $t$ variable to the right side of the equality
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$\frac{1}{p-p^2}dp=dt$
Learn how to solve problems step by step online. Solve the differential equation dp/dt=p-p^2. Group the terms of the differential equation. Move the terms of the p variable to the left side, and the terms of the t variable to the right side of the equality. Simplify the expression \frac{1}{p-p^2}dp. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{p\left(1-p\right)}dp and replace the result in the differential equation.