Question

Let x = x (y) be the solution of the differential equation 2(y + 2)log_e (y + 2)dx + (x + 4 - 2log_e (y + 2))dy = 0, y > -1 with x (e⁴ – 2) = 1. Then x (e⁹ – 2) is equal to

(1) 4/9 

(2) 10/3 

(3) 32/9 

(4) 3

Answer 1

Correct option is (3) 32/9