4 questions differential equations hm phase plane
Point value for each problem is given by the number in the box after the problem number. Write your solution inside the box.
(1) 4 Suppose the figure on the left shows the graphs of x(t) (in red and solid) and y(t) (in blue and dashed), the solutions to the system
x′ =f(x,y) y′ =g(x,y)
On the indicated grid on the right, sketch a rough graph of the parametric solution curve (x(t), y(t)) in the phase plane. Clearly label the point that corresponds to t = 0 and make sure to include arrows to indicate the direction of motion.
