Final answer to the problem
Step-by-step Solution
Specify the solving method
Factoring by $y$
Learn how to solve problems step by step online.
$y\left(1-x^2\right)\frac{dy}{dx}=\left(y+1\right)^2$
Learn how to solve problems step by step online. Solve the differential equation (y-yx^2)dy/dx=(y+1)^2. Factoring by 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 . Solve the integral \int\frac{y}{\left(y+1\right)^2}dy and replace the result in the differential equation.