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If y is a function of x then (d^2y)/(dx^...

If `y` is a function of `x` then `(d^2y)/(dx^2)+y \ dy/dx=0.` If `x` is a function of `y` then the equation becomes

A

`(d^(2)x)/(dy^(2))-x(dx)/(dy)=0`

B

`(d^(2)x)/(dy^(2))+y((dx)/(dy))^(2)=0`

C

`(d^(2)x)/(dy^(2))-y((dx)/(dy))^(2)=0`

D

`(d^(2)x)/(dy^(2))-x((dx)/(dy))^(2)=0`

Text Solution

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The correct Answer is:
C
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