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The general solution fo the differential...

The general solution fo the differential equation `(dy)/(dx)=1 + x +y + xy` is

A

`log (1+ x) = y + (x ^(2))/(2)+k`

B

`y=x + (x ^(2))/(2) +k`

C

`log (1+y) = (x ^(3))/(3) + k`

D

`y =ke ^(x + (x ^(2))/(2))-1`

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The correct Answer is:
D
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