Recent content by Si-duck

Consider a system of coupled differential equations x'=5x-y where x(0) = 6 y'=-x+5y where y(0)=-4 a) Show that the parametrised curve (x,y)= r(t)=(exp(4t) + 5exp(6t), exp(4t) - 5exp(6t)) How would you go about showing this?