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Using y=vx, the differential equation (d...

Using `y=vx,` the differential equation `(dy)/(dx)=(y)/(x+sqrt(xy))` is reduced to ___________.

A

`x(1+sqrtv)dv=v sqrtvdx`

B

`x(1-sqrtv)dv=vsqrtv dx`

C

`x(1+sqrtv)dv=-v sqrtv dx`

D

`v(1+sqrtv)dx-v sqrtvdv=0`

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