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If `y=y(x)` is the solution curve of the differential equation `(x^(2)-4)dy-(y^(2)-3y)dx=0,x>2,y(4)=(3)/(2)`and the slope of the curve is never zero,then the value of `"y(10)"` equals :

A

`(3)/(1+2sqrt(2)`

B

`(3)/(1+(8)^(1/4))`

C

`(3)/(1-(8)^(1/4))`

D

`(3)/(1-2sqrt(2))`

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