Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

Order and degree of the differential equation

$\frac{d^2 y}{d x^2}=\left\{y+\left(\frac{d y}{d x}\right)^2\right\}^{1 / 4}$are

Options:

4 and 2

1 and 2

1 and 4

2 and 4

Correct Answer:

2 and 4

Explanation:

The given differential equation can be written as

$\left(\frac{d^2 y}{d x^2}\right)^4=\left\{y+\left(\frac{d y}{d x}\right)^2\right\}$

Clearly, its order and degree are 2 and 4 respectively.