What is the solution for (dy)/(dx)-y/x = x/y ?

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

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(dy)/(dx)-y/x = x/y

\frac{d y}{d x} - \frac{y}{x} = \frac{x}{y}

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

Solution steps

\frac{d y}{d x} - \frac{y}{x} = \frac{x}{y}

Solve Bernoulli ODE:

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

y = x 2 ln (x) + c_{1}, y = - x 2 ln (x) + c_{1}

x, \frac{1}{2} x, x = 9

\frac{\partial}{\partial x} (- x e^{3 x y})

\int_{- 1}^{5} (3 e^{- x})^{2} d x

x \to 1 - lim (x^{(\frac{1}{1 - x})})

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