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

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

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

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

y = c_{1} x^{2} + 1

Solution steps

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

Solve separable ODE:

y = c_{1} x^{2} + 1

y = c_{1} x^{2} + 1

f (x) = - 3 x^{2} + 24 x - 36

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

f (x) = 6 sin (x), (\frac{π}{6}, 3)

\frac{\partial}{\partial u ( v )} (\frac{e ^{v}}{u ( v ) + v ^{8}})

\frac{d y}{d x}, 9 cos (x y) = 4 x + 5 y

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