Differential Equations Question 175
Question: The differential equation $ x{{( \frac{d^{2}y}{dx^{2}} )}^{3}}+{{( \frac{dy}{dx} )}^{4}}+y=x^{2} $ is of
Options:
A) Degree 3 and order 2
B) Degree 1 and order 1
C) Degree 4 and order 3
D) Degree 4 and order 4
Show Answer
Answer:
Correct Answer: A
Solution:
Given differential equation, $ x{{( \frac{d^{2}y}{dx^{2}} )}^{3}}+{{( \frac{dy}{dx} )}^{4}}+y=x^{2} $
In this equation order of highest derivative is 2, Hence order $ =2 $ and degree of highest derivative $ =3 $ .
BETA
