If y= ( \sin ^{-1} x) ^2, prove that (1-x^2) \frac{d^2 y}{d x^2}-x \frac{d y}{d x}-2=0.

CBSE Class 12 Math 2019 Delhi Set 1 Solved Paper - Question 17

Question : 17 of 29

Marks: +1, -0

y= ( sin \;^{-1} x) ^2

, prove that

(1-x^2) \;{d^2 y}/{d x^2}-x \;{d y}/{d x}-2=0

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