Q248 / 270 · NDA 2022 (Phase 2) · Mathematics

Consider the following statements : 1. The degree of the differential $\frac{d y}{d x}+\cos \left(\frac{d y}{d x}\right)=0$ is 1 . 2. The order of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^3+\cos \left(\frac{d y}{d x}\right)=0$ is 2. Which of the statements given above is/are correct ?

  • A
    1 only
  • Correct answer
    B
    2 only
  • C
    Both 1 and 2
  • D
    Neither 1 nor 2

Solution

$\text { 1. } \frac{d y}{d x}+\cos \left(\frac{d y}{d x}\right)=0$ Degree is not define, so, statement 1 is wrong. 2. Highest derivative is two therefore order is 2 . So, statement 2 is correct.

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

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