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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
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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $-y$ from both sides of the equation
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$x\frac{dy}{dx}=y^3- -1y$
Learn how to solve problems step by step online. Solve the differential equation xdy/dx-y=y^3. We need to isolate the dependent variable y, we can do that by simultaneously subtracting -y from both sides of the equation. Multiply -1 times -1. 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}{y^3+y}dy.