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

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

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(dy)/(dx)=(2+y^2)/(2xy)

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

y = c_{1} x - 2, y = - c_{1} x - 2

Solution steps

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

Solve separable ODE:

y = c_{1} x - 2, y = - c_{1} x - 2

y = c_{1} x - 2, y = - c_{1} x - 2

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