Question:
System of differential equations
Consider the following system: X = AX + B with:
A = ( 1 4 )
( 0 2 )
and B = (3,6)T
a. Determine the equilibrium point X* of the system.
b. Is the equilibrium point stable or unstable?
c. Draw precisely the phase portrait of the system X = AX + B (first, one could use the change of variable U = X -X*).