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The solution of $(x+y+1)\large\frac{dy}{dx}$$=1$
\[\begin {array} {1 1} (a)\;y=(x+2)+ce^{x} & \quad (b)\;y=-(x+2)+ce^{x} \\ (c)\;x=-(y+2)+ce^{y} & \quad (d)\;x=(y+2)^2+ce^{y} \end {array}\]
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