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If , prove that .
If $y = e^{m\sin^{-1} x}$, prove that $(1 - x^2)\frac{d^2y}{dx^2} - x\frac{dy}{dx} = m^2 y$.
Given: $y = e^{m\sin^{-1} x}$
To show: $(1 - x^2)\frac{d^2y}{dx^2} - x\frac{dy}{dx} = m^2 y$
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From ISC 2020 Mathematics Paper 1, question 6.