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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

n \to \infty lim (- 3^{- n})

\int \frac{1}{x + 1} d x

f (x) = 8 + 4 x^{2} - 2 x^{3}, at x = 2

x^{3} y^{^{'}} = x^{2} y - y^{3}

\int cos^{3} (\frac{x}{13}) d x

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