Exercise
$\frac{\left(1+x^2+y^2+x^2y^2\right)dy}{dx}=y^2$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation ((1+x^2y^2x^2y^2)dy)/dx=y^2. Rewrite the differential equation. Factoring by x^2. Factoring by 1+y^2. 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.
Solve the differential equation ((1+x^2y^2x^2y^2)dy)/dx=y^2
Final answer to the exercise
$\frac{1}{-y}+y=\arctan\left(x\right)+C_0$