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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

- 2 x^{2}, at x = 1

y = sin (e^{x})

x \to \infty lim (- x e^{1 - x})

\int \frac{7 r ^{2}}{r + 3} d r

2 x^{2} - 9 x + 10, at x = 1

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