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General solution of differential equation: $\large\frac{dy}{dx}=\frac{y+x-2}{y-x-4}$

$(a)\;x^2+2xy-y^2-4x+8y=c \\ (b)\;x^2+2xy+y^2+4x+8y=c \\ (c)\;x^2+2xy-y^2+4x+8y=c \\ (d)\;x^2+2xy+y^2-4x+8y=c$

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