Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Order of the differential equation $\frac{d}{d x}\left(\frac{d y}{d x}\right)^5=0$

Options:

1

4

5

2

Correct Answer:

2

Explanation:

The correct answer is Option (4) - 2

$\frac{d}{d x}\left(\frac{d y}{d x}\right)^5=0$

$⇒5(\frac{dy}{d x})^4\frac{d^2y}{dx^2}=0$

so order = 2