Homework will be due every Thursday, starting week 2, and should be handed in to your TA.

• Homework 1, due Thursday April 11 and solutions (thanks to Saran Ahuja).

  Section 1.1 problems 6,9, 15, 32, 34, 39.

  Section 1.2 problems 5,15,17,20,28.

• Homework 2, due Thursday April 18

  and solutions (thanks to Xiaodong Li). Section 2.1 problems 1, 3, 5, 8, 15, 30.

  Section 2.2 problem 17.

  Section 2.4 problems 1, 3, 4, 13, 14.

• Homework 3, due Thursday April 25 and solutions (thanks to Ulrik Buchholtz).

  Section 1.3 problems 1 a,b for t=0.1 and t=0.2 only.

  Bonus problem: Consider ODE y'=-200y^2. Suppose a solution has y(0)=1. Use Euler method with h=0.01 and h=0.005 to approximate y(0.02). Explain your observations.

  Section 2.5 problems 3ab, 7ab, 17, 19ab, 23, 25ab.

  Section 2.3 problems 2,4,13, 14.

• Homework 4, due Thursday May 2 and solutions (thanks to Saran Ahuja).

  Section 3.1 problems: 13, 15, 20.

  Section 3.2 problems: 2,3,8, 15, 18, 20.

  Section 3.3 problems: 1, 3, 5,7, but don't draw the direction field or phase portrait -- just find the solution and describe behavior as t goes infinity.

• Homework 5, due Thursday May 9 and a solutions

  (thanks to Xiaodong). Section 3.4 problems: 1, 3, 7, 11, 13, 15, 20.

  Section 3.5 problems: 2, 4, 8, 10.

• Homework 6, due Thursday May 16: solutions (thanks to Ulrik).

  Section 4.7 problems 2, 3, 4, 5, 6, 7, 8, 9.

• Homework 7, due Thursday May 23: solutions.

  Section 4.3 problems 27, 30, 37, 40, 42.

  Section 4.4 problem 7, 11.

  Section 4.5 problems 1, 3, 13, 17.

• Homework 8, due Thursday May 30 and solutions.

  Section 5.1, 11, 15, 18, 20.

  Section 5.2, 11, 20, 22, 23.

  Section 5.3, 6, 8,9,10.

• Homework 9, not for handing in, but will help you prepare for topics in the last weeks of classes. (There will not be solutions to this set.)

  Section 7.1 problems 1,2,3, parts (a)--(c). Section 7.2 problems 3,4,5, parts (a)--(d). Section 7.3 problems 1, 3, 10. Section 6.5 problems 1,3,5, 15, 16.