JEE Main 202315 Apr, Morning shiftMathematicsMediumDifferential Equations163× since 2002Let x=x(y)x=x(y)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>−12(y+2) \log _{e}(y+2) d x+\left(x+4-2 \log _{e}(y+2)\right) d y=0, y>-12(y+2)loge(y+2)dx+(x+4−2loge(y+2))dy=0,y>−1 with x(e4−2)=1x\left(e^{4}-2\right)=1x(e4−2)=1. Then x(e9−2)x\left(e^{9}-2\right)x(e9−2) is equal to :AOption A. 49\frac{4}{9}94BOption B. 329\frac{32}{9}932COption C. 103\frac{10}{3}310DOption D. 3CheckSkip · show solution
