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If , where , then show that:
If $y = e^{a \cos^{-1} x}$, where $-1 \leq x \leq 1$, then show that:
$(1 - x^2) y_2 - xy_1 - a^2y = 0$
Given: $y = e^{a \cos^{-1} x}$, where $-1 \leq x \leq 1$
To show: $(1 - x^2) y_2 - xy_1 - a^2y = 0$
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From ISC 2018 Specimen Mathematics Paper 1, question 6.