Q231 / 270 · NDA 2017 (Phase 2) · Mathematics

The order and degree of the differential equation $\left[1+\left(\frac{d y}{d x}\right)^2\right]^3=\rho^2\left[\frac{d^2 y}{d x^2}\right]^2 \quad$ are respectively

  • A
    3 and 2
  • Correct answer
    B
    2 and 2
  • C
    2 and 3
  • D
    1 and 3

Solution

Degree of a differential equation is power of the highest order derivative. In the given differential equation, $\left[1+\left(\frac{d y}{d x}\right)^2\right]^3=\rho^2\left[\frac{d^2 y}{d x^2}\right]^2$ order $=2$ and degree $=2$.

Hence, the correct answer is option: 'B'.

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