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

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

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

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

y = e^{a r c t a n (x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{a r c t a n (x) + c_{1}}

y = e^{a r c t a n (x) + c_{1}}

\frac{\partial}{\partial x} (\frac{1}{x ^{2} + 1})

\frac{d}{d x} (\frac{- 2 x - y}{x + 2 y})

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

g (t) = 3 + t^{5} + sin (π t)

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