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Question

Mathematics Question on Continuity and differentiability

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

A

3

B

10/3

C

4/9

D

32/9

Answer

32/9

Explanation

Solution

The correct option is(D): 32/9