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} (2^{7 x})

n = 0 \sum \infty 3 (x - 2)^{n}

x^{2} - 14 x + 48

\frac{d}{d x} (\frac{e ^{5 x^{2} - 2 x}}{cot ( 7 ^{x} )})

\frac{d}{d x} (8 cos^{3} (x))

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