Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

The order of the differential equation

$\left(\frac{d^2 y}{d x^2}\right)^3=\left(1+\frac{d y}{d x}\right)^{1 / 2}$

Options:

2

3

1/2

6

Correct Answer:

2

Explanation:

The given differential equation can be written as

$\left(\frac{d^2 y}{d x^2}\right)^6=1+\frac{d y}{d x}$

Clearly, its order is 2 and degree is 6 .