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}}

f^{^{''}} (x) = \frac{3}{4} x^{4} + 2 x^{3} - 12 x^{2} + 29

\frac{\partial}{\partial y} (x + 4 y)

\frac{( 2 x ^{2} tan ( x ) )}{sec ( x )}

f (x) = \frac{ln ( x )}{1 + x}

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}}