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{16}{s ( s + 2 ) ^{4}}

x \to \infty lim (\frac{e ^{- s x}}{s})

\frac{d y}{d x} y = (8 x^{2} - 16 + 16) e^{x}

(1 + 2 x^{2}) (x - x^{2})

(x^{3} + 8 x)^{3}

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}}