Determine whether the origin (0,0) is asymptotically stable, stable, unstable, and classify its type.
d(x)/(d)t=x(x+y-2),d(y)/(d)t=x+2xy-3y d(x)/(d)t=xy-x,d(y)/(d)t=-4xy-y d(x)/(d)t=y(x+y-2),d(y)/(d)t=2xy+x+y d(x)/(d)t=(x+y)(y+3),d(y)/(d)t=-y(x-1)