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