Family of curves $y = Ax+ A^3 $ is represented by the differential equation of degree
Answer & explanation
Correct answer: option 1
The correct answer is option (1) : 3
We have,
$y = Ax+ A^3 ⇒\frac{dy}{dx}= A$
On eliminating A, we get
$y = x \frac{dy }{dx} + \left(\frac{dy}{dx}\right)^3$
Clearly, it is a differential equation of degree 3.