Differential Equations Question 215
Question: The order and degree of the differential equation $ {{( 1+3\frac{dy}{dx} )}^{\frac{2}{3}}}=4\frac{d^{3}y}{dx^{3}} $ are
[AIEEE 2002]
Options:
A) $ 1,\frac{2}{3} $
B) 3, 1
C) 3, 3
D) 1, 2
Show Answer
Answer:
Correct Answer: C
Solution:
To check, order and degree, the given differential equation should be free from radicals, hence taking cube on both sides, $ {{( 1+3.\frac{dy}{dx} )}^{2}}={{( 4.\frac{d^{3}y}{dx^{3}} )}^{3}} $
Clearly, order = 3, degree = 3.
BETA
