If \( y=x \ln \left((a x)^{-1}+a^{-1}\right) \), prove that \( x(x+...
If \( y=x \ln \left((a x)^{-1}+a^{-1}\right) \), prove that \( x(x+1) \frac{d^{2} y}{d x^{2}}+x \frac{d y}{d x}=y-1 \)
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