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

cos (3 y) d y + sin (2 x) d x = 0

\frac{d x}{d t} + cos (t) x = cos (t), x (0) = 2

\frac{d r}{d t} = - 4 r t, r = r_{0} (t), t = 0

y^{^{'}} - \frac{x ^{2} y - y}{y + 4} = 0, y (3) = 1

(e^{m} + 1)^{2} e^{- m} d t + (e^{t} + 1)^{3} e^{- t} d m = 0

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