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.