Solve the equation`(x+y+1)((dy)/(dx))=1`

1.	Solve the equation`(x+y+1)((dy)/(dx))=1`
Answer» Correct Answer - ` x = Ce^(y) - (y + 2 )` ` (dx)/(dy) - x = ( y +1)` `IF = e^(-int dy ) = e ^(-y)` ` x xx e^(-y) = int (y + 1 ) e ^(-y) dy +C ` `" " = int underset ("I") y underset ("II") e ^(- y) dy + int (e ^(-y) dy +C `. ` " " = - y e ^(-y) + 2 int e ^(-y) dy +C ` ` " " = - y e ^(-y) -2 e ^(-y) +C`. ` therefore x = C e ^(y) - ( y + 2 )`.

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