Final Answer
Step-by-step Solution
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Group the terms of the differential equation. Move the terms of the $x$ variable to the left side, and the terms of the $y$ variable to the right side of the equality
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$\frac{1}{x-x^2}dx=dy$
Learn how to solve problems step by step online. Solve the differential equation dx/dy=x-x^2. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the y variable to the right side of the equality. Simplify the expression \frac{1}{x-x^2}dx. 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}{x\left(1-x\right)}dx and replace the result in the differential equation.