Question

Form the differential equation from the following primitives where constants are arbitrary:

y² = 4ax

Answer 1

\(\Rightarrow a = \frac{y^2}{4x}\)

On differentiating with respect to x, we get \(2y\left(\frac{dy}{dx}\right) = 4a\)

On substituting the value of a we get,

Hence, \(2x\left(\frac{dy}{dx}\right) = y\) is the differential equation corresponding to y² = 4ax.