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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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