Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Homogeneous Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $2xy$ from both sides of the equation
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=-xy^4-2xy$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx+2xy=-xy^4. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 2xy from both sides of the equation. Factor the polynomial -xy^4-2xy by it's greatest common factor (GCF): -xy. 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}\frac{1}{y^{3}+2}dy.