Differential Equations Question 151
Question: Which of the following differential equations has the same order and degree
[Kurukshetra CEE 1998]
Options:
A) $ \frac{d^{4}y}{dx^{4}}+8{{( \frac{dy}{dx} )}^{6}}+5y=e^{x} $
B) $ 5{{( \frac{d^{3}y}{dx^{3}} )}^{4}}+8{{( 1+\frac{dy}{dx} )}^{2}}+5y=x^{8} $
C) $ {{[ 1+{{( \frac{dy}{dx} )}^{3}} ]}^{2/3}}=4\frac{d^{3}y}{dx^{3}} $
D) $ y=x^{2}\frac{dy}{dx}+\sqrt{1+{{( \frac{dy}{dx} )}^{2}}} $
Show Answer
Answer:
Correct Answer: C
Solution:
Option has order = 4, degree $ =1 $
Option has order = 3, degree $ =4 $
Option has order = 3, degree $ =3 $ (taking cube) Option has order =1, degree $ =2 $ (squaring).
BETA
