Question

Consider the differential equation $\left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{3/2}$ = k$\frac{d^{2}y}{dx^{2}}$,

find the degree and the order of differential equation –

• A. 2, 2
• B. 3, 2
• C. 2, 3
• D. None of these

Answer 1

Answer: (A)

2, 2

Answer 2

$\left\lbrack 1 + \left( \frac{dy}{dx} \right)^{2} \right\rbrack^{3}$ = k² $\left( \frac{d^{2}y}{dx^{2}} \right)^{2}$ $\begin{matrix} order\mspace{6mu} = 2 \\ Degree = 2 \end{matrix}$