Determine the order and degree (if defin

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Determine the order and degree (if defined) of the differential equation d⁴y/dx⁴ +sin (y''') =0

Options:

order =1, degree=4

order =4, degree=4

order =4, degree=3

order =4, degree=not defined

Correct Answer:

order =4, degree=not defined

Explanation:

The highest order derivative present in the equation id y''''. Therefore its order is 4.

The given differentia equation is not a polynomial equation in its derivative. Hence. its degree is not defined.