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Show that the differential equation 2y e...

Show that the differential equation `2y e^(x/y)\ dx+(y-2x e^(x y)` ) `dy=0` is homogeneous. Find the particular solution of this differential equation, given that `x=0` when `y=1.`

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The correct Answer is:
`e^(x/y)= -(1)/(2)log|y|+1`
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