Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

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

Options:

order =2, degree =1

order =2, degree =2

order =1, degree =2

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.