Differential Equations Question 139
Question: Family $ y=Ax+A^{3} $ of curve represented by the differential equation of degree
[MP PET 1999]
Options:
A) Three
B) Two
C) One
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Differentiating the given equation, we get $ \frac{dy}{dx}=A $
$ \therefore y=x( \frac{dy}{dx} )+{{( \frac{dy}{dx} )}^{3}} $ which is of degree 3.