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

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

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

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

y = - \frac{1}{arctan ( x ) + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{1}{arctan ( x ) + c _{1}}

y = - \frac{1}{arctan ( x ) + c _{1}}

\frac{d}{d x} ((x^{4} + 2 x) (x^{3} + 2 x^{2} + 1))

\frac{d}{d x} (\frac{ln ( x )}{1 + ln ( x )})

y^{^{'}} = arctan (\frac{x}{2})

\int x \cdot e^{- 5 x} d x

\frac{d}{d x} (5^{5 x})

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