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# The solution of the differential equation $\large\frac{dy}{dx}=\frac{x-2y+1}{2x-4y}$ is :

$\begin {array} {1 1} (1)\;(x-2y)^2+2x=C & \quad (2)\;(x-2y)^2+x=C \\ (3)\;(x-2y)+2x^2=C & \quad (4)\;(x-2y)+x^2=C \end {array}$

$(1)\;(x-2y)^2+2x=C$