Differential Equations

$3(y-1)^2-2(x+2)(y-1)-(x+2)^2=C$

$x^2-3 y^2-4 x y-2 x-10 y=C$

$3(y+1)^2+2(x-2)(y+1)-(x-2)^2=C$

$x^2+3 y^2+4 x y+2 x+10 y=C$