Consider the system of differential equations
For this system, the smaller eigenvalue is and the larger eigenvalue is .
The solution to the above differential equation with initial values is
,
.

Consider the systems of differential equations
For this system, the smaller eigenvalue is and the larger eigenvalue is .
The solution to the above differential equation with initial values is
,
.

Consider the systems of differential equations
For this system, the smaller eigenvalue is and the larger eigenvalue is . The solution to the above differential equation with initial values is
,
.