We will post an answer key on the web. The table below is for grading purposes only. You do not need to transfer your answers to this page. 2 (1) suppose that the function y = y(t) is a solution of the autonomous di erential equation. What are all values of y which are stable equilibrium values? dy dt. Answer to 1: (2) suppose c is a smooth simple closed curve in the plane which bounds a region r. Which of the following path integrals must always equal twice the area of r? (the path integral is taken counterclockwise around c. ) 3 (a) i xdy + ydx (c) i ydy xdx (e) 2i ydy xdx. Answer to 2: (b) i xdy ydx (d) i ydy + xdx (f) none of the above. Answer to 3: (b) ii only (d) i and iii (f) none of the above.
