Exercise
$1+y^2+y^2y^'\:=\:0$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation 1+y^2y^2y^'=0. Rewrite the differential equation using Leibniz notation. Multiplying the fraction by y^2. We need to isolate the dependent variable y, we can do that by simultaneously subtracting 1+y^2 from both sides of the equation. 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+y^2y^2y^'=0
Final answer to the exercise
$-y+\arctan\left(y\right)=x+C_0$