Differential Equations Question 124
Question: The degree of the differential equation $ \frac{dy}{dx}-x={{( y-x\frac{dy}{dx} )}^{-4}} $ is
Options:
A) 2
B) 3
C) 4
D) 5
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ \because \frac{dy}{dx}-x={{( y-x\frac{dy}{dx} )}^{-4}} $
$ \Rightarrow ( \frac{dy}{dx}-x ){{( y-x.\frac{dy}{dx} )}^{4}}=1 $
$ \therefore $ $ Order of the above differential equation = 1 & degree = 5