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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$\frac{dx}{dy}=y\left(1+x\right)$
Learn how to solve problems step by step online. Solve the differential equation dx/dy=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 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 . Solve the integral \int\frac{1}{1+x}dx and replace the result in the differential equation.