The solution of the DE (dy)/(dx) = 1 ...

The solution of the DE ` (dy)/(dx) = 1 - x + y - xy ` is

A

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

B

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

C

` e^(y)= x - (x^(2))/(2) +C `

D

none of these

Verified by Experts

The correct Answer is:

A

` int (dy)/(( 1+y )) = int (1 -x ) dx rArr log ( 1 + y ) = x - (x ^(2))/(2) + C`.

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