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The soluiton of the differential equation `y dx- x dy = xy dx` is ……A. `x^(2) = e^(x) y^(2)`B. `x = ye^(x)`C. `xy = e^(x)`D. ` x^(2)y^(2) = log x`

Answer» Correct Answer - B
We have different equation `ydx - xydx = xydx`
`rArr " "(ydx - xdy)/(xy) = dx`
`rArr " "d(log .(x)/(Y)) = dx`
On intergating both sides, we get
`log ((x)/(y)) = rArr x rArr (x)/(y) = e^(x)`


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