Question

Write the order of the differential equation $1+{\left(\frac{dy}{dx}\right)}^2=7{\left(\frac{d^{2}y}{d{x}^2}\right)}^3$.

Answer 1

$$\begin{gathered} 1+{\left(\frac{dy}{dx}\right)}^2=7{\left(\frac{d^{2}y}{d{x}^2}\right)}^3 \\ \mathrm{The}\mathrm{order}\mathrm{of}\mathrm{a}\mathrm{differential}\mathrm{equation}\mathrm{is}\mathrm{the}\mathrm{order}\mathrm{of}\mathrm{its}\mathrm{highest}\mathrm{order}\mathrm{derivatives}. \\ \mathrm{Here},\mathrm{the}\mathrm{required}\mathrm{order}\mathrm{is}2. \end{gathered}$$