Question

The order of the differential equation $2x^2\frac{d^{2}y}{d{x}^2}-3\frac{dy}{dx}+y=0$, is
(a) 2
(b) 1
(c) 0
(d) not defined

Answer 1

(a) 2

We have,
$2x^2\frac{d^{2}y}{d{x}^2}-3\frac{dy}{dx}+y=0$
$$\begin{gathered} \mathrm{Here},\mathrm{the}\mathrm{highest}\mathrm{order}\mathrm{derivative}\mathrm{is}\frac{d^{2}y}{d^{2}x}. \\ \mathrm{Hence},\mathrm{the}\mathrm{order}\mathrm{is}2. \end{gathered}$$