What is the solution for (dy)/(dx)=(y^2+1)/(x^2+1) ?

The solution for (dy)/(dx)=(y^2+1)/(x^2+1) is y=tan(arctan(x)+c_{1})

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(dy)/(dx)=(y^2+1)/(x^2+1)

\frac{d y}{d x} = \frac{y ^{2} + 1}{x ^{2} + 1}

y = tan (arctan (x) + c_{1})

Solution steps

\frac{d y}{d x} = \frac{y ^{2} + 1}{x ^{2} + 1}

Solve separable ODE:

y = tan (arctan (x) + c_{1})

y = tan (arctan (x) + c_{1})

What is the solution for (dy)/(dx)=(y^2+1)/(x^2+1) ?
The solution for (dy)/(dx)=(y^2+1)/(x^2+1) is y=tan(arctan(x)+c_{1})