Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

If a and b are order and degree of differential equation y'' + (y')2 + 2y = 0, then value of 2a + 6b, is :

Options:

3

4

6

10

Correct Answer:

10

Explanation:

y'' + (y')2 + 2y = 0

highest order derivative ⇒ order = 2 = a

max. power of it ⇒ degree = 1 = b 

so 2a + 6b

= 2 × 2 + 6 × 1

= 4 + 6

= 10