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

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

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

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

y = - \frac{2}{ln ( x ^{2} + 1 ) + c _{1}}

Solution steps

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

Solve separable ODE:

y = - \frac{2}{ln ( x ^{2} + 1 ) + c _{1}}

y = - \frac{2}{ln ( x ^{2} + 1 ) + c _{1}}

\frac{2}{x x}

x \to \infty lim (x (2))

\frac{d}{d x} (3 A e^{3 x})

4 sin (x), 4 cos (2 x), [- \frac{π}{2}, \frac{π}{6}]

\frac{\partial}{\partial x} (sin (3 x))

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