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''')+ (y'')3+ (y')4+ y5 =0.

Options:

order =3, degree = 3

order =1, degree = 2

order =3, degree = 1

order =3, degree = 2

Correct Answer:

order =3, degree = 1

Explanation:

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

The given differential equation is a polynomial equation in y''', y'', and y'. The highest power raised to y''' is 1. Hence, its degree is 1.