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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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