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

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

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

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

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

Solution steps

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

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}}

y^{^{''}} - y^{^{'}} - 2 y = 4 e^{- t}

f (x) = \frac{2}{x - 7}

\int 8 x e^{- x^{2}} d x

x \to 2 lim (\frac{x + 3}{x - 2})

\frac{d}{d x} (- \frac{2}{3 x ^{3}})

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