The conversation between human and AI assistant.
How can I solve the equation [math](1+x²)y'=2+y[/math]?
Yes, I have. Can you walk me through the steps?
Of course. First, we can rearrange the equation to [math]\frac{dy}{2+y}=\frac{dx}{1+x^2}[/math]. Then, we integrate both sides to get [math]\ln|2+y|=\tan^{-1}(x)+C[/math], where C is a constant of integration.