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Rewrite the differential equation using Leibniz notation
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$xy\frac{dy}{dx}=1+y^2$
Learn how to solve problems step by step online. Solve the differential equation xyy^'=1+y^2. Rewrite the differential equation using Leibniz notation. 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{y}{1+y^2}dy and replace the result in the differential equation.