Verify that \( y=e^{m \cos ^{-1} x} \) is a solution of the differe...

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Verify that \( y=e^{m \cos ^{-1} x} \) is a solution of the differential equation
\( \mathrm{P} \) \( \left(1-x^{2}\right) \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}-m^{2} y=0 \)

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