If , show that…

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

22. If y=eacos⁡−1x,−1≤x≤1y=e^{a \cos ^{-1} x},-1 \leq x \leq 1, show that (1−x2)d2ydx2−xdydx−a2y=0\left(1-x^{2}\right) \frac{d^{2} y}{d x^{2}}-x \frac{d y}{d x}-a^{2} y=0.

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