Differential Equations Question 277
Question: The order and degree of the differential equation $ {{[ 4+{{( \frac{dy}{dx} )}^{2}} ]}^{2/3}}=\frac{d^{2}y}{dx^{2}} $ are
Options:
A) 2, 2
B) 3, 3
C) 2, 3
D) 3, 2
Show Answer
Answer:
Correct Answer: C
Solution:
Here power on the differential coefficient is fractional, therefore change it into positive integer, so $ {{[ 4+{{( \frac{dy}{dx} )}^{2}} ]}^{2/3}}=\frac{d^{2}y}{dx^{2}} $
Therefore $ {{[ 4+{{( \frac{dy}{dx} )}^{2}} ]}^{2}}={{[ \frac{d^{2}y}{dx^{2}} ]}^{3}} $
Hence order is 2 and degree is 3.
BETA
