Question

From the differential equation of all parabolas whose axis is y-axis.

Answer 1

Gernal equation$x^2=ha(y-k)$

$2x=ha\frac{dy}{dx}$

$x=za\frac{dy}{dx}$

$\frac{dy}{dx}=\frac{x}{2a}$

$\frac{d^{2}y}{dx}=\frac{1}{2a}$