Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

Determine the order and degree (if defined) of the differential equation (ds/dt)4+ 3s(d2s/dt2) =0

Options:

order =1, degree=1

order =2, degree=1

order =2, degree=2

none of these

Correct Answer:

order =2, degree=1

Explanation:

The highest order derivative present in the equation is d2s/dt2. Therefore its order is 2.

The given differential equation is  a polynomial equation in d2s/dt2 and ds/dt. The highest power raised to d2s/dt2  is 1. Hence, Its degree is 1.