Family of curves $y=A x+A^3$ is represen

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

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

Options:

none of these

Correct Answer:

Explanation:

We have,

$y=A x+A^3 \Rightarrow \frac{d y}{d x}=A$

On eliminating A, we get

$y=x \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^3$

Clearly, it is a differential equation of degree 3.