Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

Family of curves $y = Ax+ A^3 $ is represented by the differential equation of degree

Options:

3

2

1

none of these

Correct Answer:

3

Explanation:

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.