The solution of `(x+y+1)(dy)/(dx) = 1` isA. ` y = (x+2)+Ce^(x)`B. `y=-(x+2)+Ce^(x)`C. `x=-(y+2)+Ce^(y)`D. `x=(y+2)^(2)+Ce^(y)`

The solution of `(x+y+1)(dy)/(dx) = 1` isA. ` y = (x+2)+Ce^(x)`B. `y=-

1.	The solution of `(x+y+1)(dy)/(dx) = 1` isA. ` y = (x+2)+Ce^(x)`B. `y=-(x+2)+Ce^(x)`C. `x=-(y+2)+Ce^(y)`D. `x=(y+2)^(2)+Ce^(y)`
Answer» Correct Answer - c Given , `(dx)/(dy) = x+y+1` ` rArr (dx)/(dy) - x = y +1` ` :. IF = e^(int-1dy) = e^(-y)` Its solution is given by ` x . IF = int IF xx Q dy + C` ` rArr x * e^(-y) = int (y+1)e^(-y) + int e^(-y) dy + C` ` rArr xe^(-y) = - (y+1) e^(-y) -e^(-y) +C` ` rArr xe^(-y) = - (y+1) e^(-y) -e^(-y) +C` ` rArr x = - (y+2) +Ce^(y)`

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The solution of `(x+y+1)(dy)/(dx) = 1` isA. ` y = (x+2)+Ce^(x)`B. `y=-(x+2)+Ce^(x)`C. `x=-(y+2)+Ce^(y)`D. `x=(y+2)^(2)+Ce^(y)`

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