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 .