If y= ( \sec ^{-1} x) ^2, x>0, show that x^2 (x^2-1) \frac{d^2 y}{d x^2}+ (2 x^3-x) \frac{d y}{d x}-2=0

CBSE Class 12 Math 2019 All India Set 1 Solved Paper

Question : 17 of 29

Marks: +1, -0

y= (\ sec ^{-1} x) ^2, x>0

, show that

x^2 (x^2-1) \;{d^2 y}/{d x^2}+ (2 x^3-x) \;{d y}/{d x}-2=0

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