Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Differential Equations, 3rd ed., by Blanchard, Devaney, and Hall, the required text for the course. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with on the assignment.

Note: Be sure to follow the instructions in the text carefully, only using the technology on the DE Tools CD-ROM when directed to. Since you won't have this technology available to you on an exam, please don't use it as a crutch to do all the homework problems!

Section 1.3
Problems:   4, 6, 8, 12, 13, 14, 15, 17, 18

Section 1.4
Problems:   2, 4, 5, 6, 12, 13, 14

Note: You may use the Existence and Uniqueness Theorem from Section 1.5 to help answer some of these questions.

Section 1.5
Problems:   2, 4, 9, 10, 13, 18

Additional Problem: Prove that if y(t) is a solution to dy/dt = f(t), then so is y(t) + c for any real number c. This shows that solutions to ODE's of the form dy/dt = f(t) can be vertically shifted any amount. (See class notes from 9/6.)