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

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

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

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

y = ln (x^{2} + 1) + c_{1}, y = - ln (x^{2} + 1) + c_{1}

Solution steps

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

Solve separable ODE:

y = ln (x^{2} + 1) + c_{1}, y = - ln (x^{2} + 1) + c_{1}

y = ln (x^{2} + 1) + c_{1}, y = - ln (x^{2} + 1) + c_{1}

(2010, 73.1), (2000, 71.3)

\int cos^{2} (y) d y

n = 1 \sum \infty \frac{n}{5 ^{n}}

\frac{\partial}{\partial x} (x^{2} + x y - 10)

\frac{d}{d x} (2 x^{3} cos (x) sin (x))

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