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.



sathee Ask SATHEE

Welcome to SATHEE !
Select from 'Menu' to explore our services, or ask SATHEE to get started. Let's embark on this journey of growth together! 🌐📚🚀🎓

I'm relatively new and can sometimes make mistakes.
If you notice any error, such as an incorrect solution, please use the thumbs down icon to aid my learning.
To begin your journey now, click on

Please select your preferred language
कृपया अपनी पसंदीदा भाषा चुनें