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Rewrite the differential equation using Leibniz notation
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$\frac{dx}{dy}=x-xy$
Learn how to solve problems step by step online. Solve the differential equation x^'=x-xy. Rewrite the differential equation using Leibniz notation. Factor the polynomial x-xy by it's greatest common factor (GCF): x. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the y variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to .