Question

The order of the differential equation $\left(\frac{d^{3}\, y }{dx^{3}}\right)^{2} + \left(\frac{d^{2}\,y}{dx}\right)^{2} + \left(\frac{dy}{dx}\right)^{5} = 0$ is

• A. 3
• B. 4
• C. 1
• D. 5

Answer 1

Answer: (A)

3

Answer 2

We have,
$\left(\frac{d^{3}\, y}{d x^{3}}\right)^{2}+\left(\frac{d^{2} \,y}{d x^{2}}\right)^{2}+\left(\frac{d y}{d x}\right)^{5}=0$
Since, the highest order derivative is $\frac{d^{3} y}{d x^{3}}$
$\therefore$ Order of the given differential equation is $3$