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}

\frac{\partial}{\partial θ} (r (θ) \cdot cos (θ))

e^{r t}

\int_{- π}^{π} sin^{3} (x) d x

x \to 0 + lim (x ln (tan (3 x)))

- \frac{19}{( 2 x - 5 ) ^{2}}

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)}