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\displaystyle[br]\begin{equation*}\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x}{y} + \frac{y}{x} \quad \quad (x>0, y>0)\end{equation*}
\displaystyle [br]\begin{equation*}\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x}{y} + \frac{2y}{x} \quad \quad \left(x>0, y>0\right)\end{equation*}
\displaystyle [br]\begin{equation*}\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x}{y} + \frac{2y}{x} \quad \quad \left(x>0, y>0\right)\end{equation*}
\displaystyle [br]\begin{equation*}\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x}{y} + \frac{2y}{x} \quad \quad \left(x>0, y>0\right)\end{equation*}
\displaystyle [br]\begin{equation*}\frac{\mathrm{d}y}{\mathrm{d}x} = \frac{x}{y} + \frac{2y}{x} \quad \quad \left(x>0, y>0\right)\end{equation*}