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(i) If y^(1//m) + y^(-1//m) = 2x then pr...

(i) If `y^(1//m) + y^(-1//m) = 2x` then prove that ` (x^(2)-1) (d^(2)y)/(dx^(2)) + x (dy)/(dx) - m^(2)y =0`
(ii) If y = ln `(x + sqrt(1+x^(2))` , then prove that ` (1+x^(2)) (d^(2)y)/(dx^(2)) + x (dy)/(dx)=0`

A

` -m^(2) y^(2)`

B

` m^(2) y^(2)`

C

` -m^(2) y `

D

` m^(2) y `

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The correct Answer is:
D
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NIKITA PUBLICATION-DIFFERENTIATION -MCQ
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