Differential Equations Question 157
Question: The order and degree of the differential equation $ \frac{d^{2}y}{dx^{2}}=\sqrt{1+{{( \frac{dy}{dx} )}^{2}}} $ is
[DCE 2002]
Options:
A) 4, 2
B) 1, 2
C) 2, 2
D) $ 2,\frac{1}{2} $
Show Answer
Answer:
Correct Answer: C
Solution:
Given equation can be written as $ {{( \frac{d^{2}y}{dx^{2}} )}^{2}}=1+{{( \frac{dy}{dx} )}^{2}} $
Hence order is 2 and degree is 2.