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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Differential Equations

NDA 2022 · Mathematics · Differential Equations

Consider the following statements : 1. The degree of the...

Consider the following statements : 1. The degree of the differential dydx+cos⁡(dydx)=0\frac{d y}{d x}+\cos \left(\frac{d y}{d x}\right)=0 is 1 . 2. The order of the differential equation (d2ydx2)3+cos⁡(dydx)=0\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 ?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

B. 2 only

Step-by-step solution

\text{ 1. } \frac{d y}{d x}+\cos (dydx)=0\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.
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