Differential Equations Question 35
Question: The order and degree of the differential equation $ \sqrt{\frac{dy}{dx}}-4\frac{dy}{dx}-7x=0 $ are
[MP PET 1993]
Options:
A) 1 and 1/2
B) 2 and 1
C) 1 and 1
D) 1 and 2
Show Answer
Answer:
Correct Answer: D
Solution:
Given equation $ \sqrt{\frac{dy}{dx}}-4.\frac{dy}{dx}-7x=0 $
Therefore $ \frac{dy}{dx}=16{{( \frac{dy}{dx} )}^{2}}+49x^{2}+56x\frac{dy}{dx} $
Obviously, it is first order and second degree differential equation .