In Exercises 72 to 79, determine whether the graph of each equation is symmetric with respect to the a. x-axis, b. y-axis, and c. origin

FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS III: Autonomous Planar Systems David Levermore Department of Mathematics University of Maryland 4 May 2012 Because the presentation of this material in lecture will diﬀer from that in the book, I felt that notes that closely follow the lecture presentation might be appreciated. Contents 6. Autonomous Planar Systems: Integral Methods 6.1. Stationary Solutions 2 6.2. Reduction to First-Order Equations 3 6.3. Hamiltonian Systems