The solution of the equation \( \frac{x^{2} d^{2} y}{d x^{2}}=\ln x \), when \( x=1, y=0 \) and ....

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The solution of the equation \( \frac{x^{2} d^{2} y}{d x^{2}}=\ln x \), when
\( \mathrm{P} \)
\( x=1, y=0 \) and \( \frac{d y}{d x}=-1 \) is
(1) \( \frac{1}{2}(\ln x)^{2}+\ln x \)
(2) \( \frac{1}{2}(\ln x)^{2}-\ln x \)
(3) \( -\frac{1}{2}(\ln x)^{2}+\ln x \)
(4) \( -\frac{1}{2}(\ln x)^{2}-\ln x \)


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