Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Find the order and degree (if defined) of the differential equation y''+2y'+siny =0.

Options:

order=2, degree=2

order=2, degree=1

order=2, degree=not defined

none of these

Correct Answer:

order=2, degree=1

Explanation:

The highest order derivative present in the given differential equation is y''. Therefore, its order is two.

The given differential equation is a polynomial equation in y'' and y'. The highest power raised to y'' is one. Hence, its degree is one.