Question

The order and degree of the differential equation ${(1+3\frac{dy}{dx})}^{\frac{2}{3}}=4\frac{d^{3}y}{d{x}^3}$ are

• A. $1,\frac{2}{3}$
• B. 3, 1
• C. 3,3
• D. 1,2

Answer 1

Answer: (C)

3,3

To check, order and degree, the given differential equation should be free from radicals, hence taking cube on both sides, ${(1+3.\frac{dy}{dx})}^2={\left(4.\frac{d^{3}y}{d{x}^3}\right)}^3$
Clearly, order = 3, degree = 3.