Textbook: W.Boyce and R.DiPrima, Elementary Differential Equations, 10th Ed. or Elementary Differential Equations and Boundary Value Problems, 10th Ed. Correspondence of the 9th and 10th editions of the textbook
Instructors: Maxime Gazeau, Anton Izosimov, Mohammad Niksirat
Final Exam: Problems
Term Test 2: Problems; Solutions (prepared by TAs Espinosa Lara and Telpukhovskiy)
Term Test 1: Problems; Solution of Problem 1; Solution of Problem 2; Solution of Problem 3; Solution of Problem 4; Solution of Problem 5
Material Covered by Anton's class: 1.1, 1.3, 2.1 - 2.6, 3.1 - 3.8, 4.1 - 4.4, 7.1, 7.3 - 7.9, 9.1 - 9.4
Recommended Exercises:
1.1 -- 27, 29, 31 1.3 -- 1-8, 10, 11, 13-15, 17, 28
2.1 -- 4, 7, 10, 13-17, 19, 20, 28, 30, 38-41 2.2 -- 2, 4, 6, 7, 12-15, 19, 25, 26, 30-34, 36, 38 2.3 -- 9, 13, 18, 24, 28 2.4 -- 13, 15, 19, 22, 27-29, 32 2.5 -- 3-6, 9, 12, 13, 16, 22 2.6 -- 3, 9-11, 14, 18, 19, 21-23, 27-29
Misc.(p.133) -- 2, 8, 9, 12, 14, 20, 26, 30
3.1 -- 4, 7, 10, 14, 22, 23, 26 3.2 -- 1, 2, 5, 14, 16, 17, 27, 31, 34, 35, 39 3.3 -- 9-14, 19, 22, 25, 29, 35, 38, 42 3.4 -- 8, 10, 13, 14, 16, 18, 25, 27, 36 3.5 -- 5, 16, 18, 21, 27, 29, 32, 33, 34 3.6 -- 2, 7-10, 16, 28-30 3.7 -- 29 3.8 -- 15
4.1 -- 3, 8, 15, 19, 22, 28 4.2 -- 5, 8, 10, 15, 17, 20, 21, 30, 34, 35 4.3 -- 6, 7, 10, 13, 16, 17 4.4 -- 4, 13
7.1 -- 2, 4, 10 7.3 -- 14, 23, 24 7.4 -- 6 7.5 -- 2, 3, 7, 9, 11, 15, 18, 20, 25, 29, 31 7.6 -- 3, 4, 9, 15, 18, 23 7.8 -- 2, 4-6, 9, 10, 20, 22 7.9 -- 3, 4, 5, 8, 14
9.1 -- 1ab, 4ab, 5ab, 6ab, 9, 17 9.2 -- 3, 4, 8ac, 10ac, 17, 21, 23 9.3 -- 6, 9, 14, 27 9.4 -- 3, 4 9.5 -- 2, 3
Additional Materials:
- A table of integrals (the circled ones are to be memorized): pages 1, 2.
- Direction field plotter Check/uncheck "Solution A", "Solution B" etc. to show/hide graphs of solutions.
- Phase portrait (phase plane) plotter Enter coorodinates of a point in the "Intial Conditions" field and press the "Sketch Solution" button to plot the solution curve through that point. Then you can enter another point and press the button again to obtain another solution, etc.