Final Answer
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We need to isolate the dependent variable , we can do that by simultaneously subtracting $y$ from both sides of the equation
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$\frac{dx}{dy}=y^2-y$
Learn how to solve differential equations problems step by step online. Solve the differential equation dx/dy+y=y^2. We need to isolate the dependent variable , we can do that by simultaneously subtracting y from both sides of the equation. 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 \left(y^2-y\right)dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.