Form the differential equation from the following primitives where constants are arbitrary: `y^2=4a x`

Explanation

`y^2=4axldots`(1)

Differentiating it with respect to `x`, we get

`2y{dy}/{dx}=4aldots`(2)

From (1) and (2),

`a=1/2y{dy}/{dx}`

Putting value of `a` in (1), we get

`y^2=4 xx1/2y{dy}/{dx}x`

`implies 2x{dy}/{dx}=y`

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