Question

The order and degree of the differential equation ${(1+3{\mathrm{y}}_1)}^{\frac{2}{3}}$ respectively is:

• (A) $1,\frac{2}{3}$
• (B) $2,1$
• (C) $4,1$
• (D) $1,4$

Answer 1

The Correct Option is A

Explanation:
Given, ${(1+3{\mathrm{y}}_1)}^{\frac{2}{3}}$ can be written as:${(1+3\frac{dy}{dx})}^{\frac{2}{3}}$The order is the highest derivative of differentiation, therefore, the order is 1 and degree is power raised to the highest differentiation. So, degree is $\frac{2}{3}$.Hence, the correct option is (A).