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Rewrite the differential equation using Leibniz notation
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$x^2\frac{dy}{dx}-y^2-xy+x^2=0$
Learn how to solve problems step by step online. Solve the differential equation x^2y^'-y^2-xyx^2=0. Rewrite the differential equation using Leibniz notation. We can identify that the differential equation x^2\frac{dy}{dx}-y^2-xy+x^2=0 is homogeneous, since it is written in the standard form M(x,y)dx+N(x,y)dy=0, 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: y=ux. Expand and simplify.