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Question: Answered & Verified by Expert
Consider the following statements in respect of the differential equation $\quad$
$\frac{d^{2} y}{d x^{2}}+\cos \left(\frac{d y}{d x}\right)=0$
1.The degree of the differential equation is not defined.
2.The order of the differential equation is 2 . Which of the above statements is/are correct?
MathematicsDifferential EquationsNDANDA 2014 (Phase 1)
Options:
  • A 1 only
  • B 2 only
  • C Both 1 and 2
  • D Neither 1 nor 2
Solution:
2880 Upvotes Verified Answer
The correct answer is: Both 1 and 2
Statement 1: Differential equation is not a polynomial equation in its derivatives. So, its degree is not defined. Statement 2 : The highest order derivative in the given polynomial is 2 .

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