If y=ea sin(−1x) , −1 ≤x ≤1,then show that (1−x2) dx2d2 y− xdxdy− a2y=0

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If {y}={e}^{{a}} {{}^{{{(-{1}_{{x}})}}} }, -{1} {x} {1},then s

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If $y = e^{a} sin^{(- 1_{x})}, - 1 \leq x \leq 1,$ then show that $(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} - a^{2} y = 0$

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y = e^{a} sin^{(- 1_{x})}, - 1 \leq x \leq 1,

then show that

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} - a^{2} y = 0

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y = e^{a} sin^{(- 1_{x})}, - 1 \leq x \leq 1,

then show that

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} - a^{2} y = 0