Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The order and degree of the equation $1 +(\frac{d^2y}{dx^2})^{5/2}=(\frac{dy}{dx})^2$ are respectively

Options:

2, 5

2, 1

1, 1

doesn’t exist

Correct Answer:

2, 5

Explanation:

The given differential equation can be re-written as $[(\frac{dy}{dx})^2-1]^2=(\frac{d^2y}{dx^2})^5$.

Hence its order is 2 and degree is 5.

Hence (A) is the correct answer.