## Step-by-step explanation

Problem to solve:

Learn how to solve differential equations problems step by step online.

$\frac{dx}{dy}=y\left(1+x\right)$

Learn how to solve differential equations problems step by step online. Solve the differential equation dx/dy=y+xy. Factoring by 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. Integrate both sides, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{1+x}dx and replace the result in the differential equation.