Question

The DE whose solution is y^2=3ay-x^3

Answer 1

Answer:

y^2=3ay-x^3

Differentiate with respect to x we get,

$2y \frac{dy}{dx} = 3a \frac{dy}{dx} - 3 {x}^{2}$

Or,

$(2y - 3a) \frac{dy}{dx} + 3 {x}^{2} = 0$

This is the DE