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The differential equation of family of c...

The differential equation of family of curves of `y^(2)=4a(x+a)`is

A

`y^(2)=4(dy)/(dx)((x+dy)/(dx))`

B

`2y (dy)/(dx)=4a`

C

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

D

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

Text Solution

AI Generated Solution

To find the differential equation of the family of curves given by the equation \( y^2 = 4a(x + a) \), we will follow these steps: ### Step 1: Differentiate the given equation with respect to \( x \) Starting with the equation: \[ y^2 = 4a(x + a) \] ...
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