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Rewrite the differential equation using Leibniz notation
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$\left(x^2-y^2\right)\frac{dy}{dx}=2xy$
Learn how to solve problems step by step online. Solve the differential equation (x^2-y^2)y^'=2xy. Rewrite the differential equation using Leibniz notation. Rewrite the differential equation. We can identify that the differential equation \frac{dy}{dx}=\frac{2xy}{x^2-y^2} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: x=uy.