Form the differential equation representing the parabolas having vertex at the origin and axis along positive direction of x-axis.

Explanation

Equation of the parabola having vertex at the origin and axis along positive direction of x-axis will be,

`y^2 = 4ax->(1)`

Differentiating this equation w.r.t. `x`,

`=>2y dy/dx = 4a`

`=>dy/dx = (2a)/y->(2)`

Now, from (1),

`y^2/x = 4a => 2a = y^2/(2x)`

Putting value of `2a` in (2),

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