Differential Equations Question 269
Question: What is the degree of the differential equation $ y=x\frac{dy}{dx}+{{( \frac{dy}{dx} )}^{-1}} $ -
Options:
A) 1
B) 2
C) -1
D) Degree does not exist.
Show Answer
Answer:
Correct Answer: B
Solution:
[b] Given differential equation is $ y=x\frac{dy}{dx}+{{( \frac{dy}{dx} )}^{-1}} $ Multiply by $ \frac{dy}{dx};y\frac{dy}{dx}=x{{( \frac{dy}{dx} )}^{2}}+1 $ Since power of highest order derivative is 2.
$ \therefore $ degree = 2
BETA
