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Differential equation whose general solution is
P \( y=c_{1} x+c_{2} / x \) for all values of \( c_{1} \) and \( c_{2} \) is

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(1) \( \frac{d^{2} y}{d x^{2}}+\frac{x^{2}}{y}+\frac{d y}{d x}=0 \)
(2) \( \frac{d^{2} y}{d x^{2}}+\frac{y}{x^{2}}-\frac{d y}{d x}=0 \)
(3) \( \frac{d^{2} y}{d x^{2}}+\frac{1}{2 x} \frac{d y}{d x}=0 \)
(4) \( \frac{d^{2} y}{d x^{2}}+\frac{1}{x} \frac{d y}{d x}-\frac{y}{x^{2}}=0 \)
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