Check your intuition for each of the systems in Problems a - c, following these steps.
(a) Sketch what you think the direction.field looks like.
(b) Use an open-ended solver to draw the vector field.
(c) Solve the system analytically and compare with results
in (a) and (b). Explain or reconcile any difef rences.
a. x' = x
y' = y
b. x' = 0
y' = -y
c. x'= x + y
y' = x + y