Differential Equations Question 115
Question: The order and degree of the differential equation $ \frac{d^{2}y}{dx^{2}}+{{( \frac{dy}{dx} )}^{\frac{1}{3}}}+{x^{\frac{1}{4}}}=0 $ are respectively
[MP PET 1998]
Options:
A) 2, 3
B) 3, 3
C) 2, 6
D) 2, 4
Show Answer
Answer:
Correct Answer: A
Solution:
Given $ \frac{d^{2}y}{dx^{2}}+{{( \frac{dy}{dx} )}^{1/3}}+{x^{1/4}}=0 $
Taking cube, $ {{[ ( \frac{d^{2}y}{dx^{2}} )+{{( \frac{dy}{dx} )}^{1/3}}+{x^{1/4}} ]}^{3}}=0 $
Order of highest derivative $ =2 $
Degree of highest derivative $ =3 $ .
BETA
