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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
y=easin⁡−1x⇒(1−x2)yn+2−(2n+1)xyn+1y = {e^{a{{\sin }^{ - 1}}x}} \Rightarrow \left( {1 - {x^2}} \right){y_{n + 2}} - \left( {2n + 1} \right)x{y_{n + 1}} is equal to
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Correct option: C
(n2+a2)yn\left( {{n^2} + {a^2}} \right){y_n}
Option C ((n2+a2)yn\left( {{n^2} + {a^2}} \right){y_n}) is correct because it is the correct result obtained by applying Leibnitz's rule to the given differential equation.

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