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If `Y = E^(Acos^(-1)X)`, -1 <= X <= 1 Show that `(1- X^2) (D^2y)/(Dx^2) -x Dy/Dx - A^2y = 0` - CBSE (Science) Class 12 - Mathematics

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Question

if `y = e^(acos^(-1)x)`, -1 <= x <= 1 show that `(1- x^2) (d^2y)/(dx^2) -x dy/dx - a^2y = 0`

Solution

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 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 5: Continuity and Differentiability
Q: 23 | Page no. 192
Solution If `Y = E^(Acos^(-1)X)`, -1 <= X <= 1 Show that `(1- X^2) (D^2y)/(Dx^2) -x Dy/Dx - A^2y = 0` Concept: Logarithmic Differentiation.
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