Final Answer
Step-by-step Solution
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Factor the polynomial $y-xy$ by it's greatest common factor (GCF): $y$
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$\frac{dy}{dx}=y\left(1-x\right)$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=y-xy. Factor the polynomial y-xy by it's greatest common factor (GCF): y. 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 . Expand the integral \int\left(1-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.