What is the solution for (x^2+1)((dy)/(dx))+xy-x=0 ?

The solution for (x^2+1)((dy)/(dx))+xy-x=0 is y=(c_{1})/(sqrt(x^2+1))+1

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(x^2+1)((dy)/(dx))+xy-x=0

(x^{2} + 1) (\frac{d y}{d x}) + x y - x = 0

y = \frac{c _{1}}{x ^{2} + 1} + 1

Solution steps

(x^{2} + 1) (\frac{d y}{d x}) + x y - x = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{2} + 1} + 1

y = \frac{c _{1}}{x ^{2} + 1} + 1

\frac{d}{d x} (\frac{1}{3} \cdot x^{3})

f (x) = e^{\frac{x}{( x - 9 )}}

\frac{d}{d s} (\frac{2 s ^{2}}{( s - 6 ) ^{3}})

\frac{1}{t} \frac{d y}{d t} - \frac{1}{1 + t ^{2}} = 0, y (0) = 1

t \to 0 lim (\frac{1}{2} e^{- 2 t})

What is the solution for (x^2+1)((dy)/(dx))+xy-x=0 ?
The solution for (x^2+1)((dy)/(dx))+xy-x=0 is y=(c_{1})/(sqrt(x^2+1))+1