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The power of a product is equal to the product of it's factors raised to the same power
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$\frac{dy}{dx}=\frac{x^2y^2}{8}+y^2$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=((xy)^2)/8+y^2. The power of a product is equal to the product of it's factors raised to the same power. Combine all terms into a single fraction with 8 as common denominator. Factoring by y^2. 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.