Differential Equations Question 2
Question: Consider the following statements in respect of the differential equation $ \frac{d^{2}y}{dx^{2}}+\cos ( \frac{dy}{dx} )=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-
Options:
A) 1 only
B) 2 only
C) Both 1 and 2
D) Neither 1 nor 2
Show Answer
Answer:
Correct Answer: C
Solution:
[c] 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.