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We need to isolate the dependent variable , we can do that by simultaneously subtracting $2xy$ from both sides of the equation
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$\frac{dy}{dx}=-xy^4-2xy$
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 , 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.