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 ?
- A1 only
- Correct answerB2 only
- CBoth 1 and 2
- DNeither 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'.