Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Determine the order and degree (if defined) for the differential equation (d2y/dx2) +cos(dy/dx) =0

Options:

order= 2, degree= 2.

order= 2, degree= 1.

order=2, degree= not defined.

None of these.

Correct Answer:

order=2, degree= not defined.

Explanation:

The highest order derivative present in the equation is d2y/dx2. Therefore its order is 2.

The given differential equation is  not a polynomial equation in its derivatives. Hence it's degree is not defined.