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Question

If (1 + xy) dydx+y3=0 and y(1) = 1, then the equation of the curve is
  1. xy+y+1=2ye1y1
  2. xy+y+1=3ye1y1
  3. xy+y+1=2ye1y+1
  4. xy+y+1=3ye1y+1


Solution

The correct option is B xy+y+1=3ye1y1
Given Equ. In dxdy+xy2=1y3I.F.=e1y
x.e1y=1y3.e1ydy and use y(1) = 1

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