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The power of a product is equal to the product of it's factors raised to the same power
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=\sqrt[3]{x}\sqrt[3]{y}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(xy)^1/3. The power of a product is equal to the product of it's factors raised to the same power. 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. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{\sqrt[3]{y}}dy and replace the result in the differential equation.