5. Consider the linear system below.
x' = x
y' = x + 2y
a. Write this system in vector form.
b. Since the system can be decoupled, first find the solution of x' = x
and then use that to find the solution of y' = x + 2y.
c. Write this solution in vector form.
d. Do the 2 above solutions generate the general solution?
e. Sketch the above solutions in the phase plane.