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.