Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The order and degree of the differential equation $\left(\frac{d^3y}{dx^3}\right)^2+\left(\frac{d^2y}{dx^2}\right)^3+x^3\left(\frac{dy}{dx}\right)^3=\sqrt{x^2+1}$ are respectively :

Options:

3; 2

2; 3

3; 3

5; 3

Correct Answer:

3; 2

Explanation:

The correct answer is Option (1) → 3, 2

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

Order → Highest order derivative = 03

Degree → Power of Highest order derivative = 02