Verify that \( y=\log \left(x+\sqrt{x^{2}+a^{2}}\right) \) satisfie...

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Verify that \( y=\log \left(x+\sqrt{x^{2}+a^{2}}\right) \) satisfies the differential equation
P \( \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=0 \).

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