Part 1
9 problems due Monday, April 6th, 4pm, in box in Math Department Main Office, 244 Mathematics Building.
6.1: 14, 16, 18, 20 -- use eigenvalue method to determine whether the critical point at (0,0) is (a) stable/unstable, (b) saddle/node/spiral point/center, and (c) asymptotically stable/unstable. No need to sketch phase plane (solutions in book).
6.2: 2, 4, 6, 8, 10 -- use eigenvalue method to determine whether the critical point at (0,0) is (a) stable/unstable, (b) saddle/node/spiral point/center, and (c) asymptotically stable/unstable; ALSO (d) sketch phase plane.
Part 2
14 problems due Monday, April 13th, 4pm, in box in Math Department Main Office, 244 Mathematics Building.
6.1: 2, 4, 6, 8 -- justify your answer
6.2: 12, 14, 16, 18 -- (a) find the single critical point and determine whether it is (b) stable/unstable, (c) saddle/node/spiral point/center, and (d) asymptotically stable/unstable.
6.2: 29, 31 -- show your work, but no need to sketch phase portrait; you may reference phase plane portraits given in solution in book.
6.3: 3 (click here if you need a hint).
6.4: 9, 10, 11