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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $y^2-y$ from both sides of the equation
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$\frac{dy}{dx}=-\left(y^2-y\right)$
Learn how to solve problems step by step online. Solve the differential equation dy/dx+y^2-y=0. We need to isolate the dependent variable y, we can do that by simultaneously subtracting y^2-y from both sides of the equation. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{-\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.