Let x = x(y) be the solution of the differential equation 2(y+2) _e(y+2)dx+(x+4-2 _e(y+2))dy=0, y –1 with...

Question

Let x = x(y) be the solution of the differential equation 2(y+2) _e(y+2)dx+(x+4-2 _e(y+2))dy=0, y > –1 with x(e^4-2) = 1. Then x(e^9-2) is equal to-

Accepted Answer

(C)

JEE Main 2023 Mathematics question