Math 104 - Lecture 6 Notes Thursday, October 20, 2011

Week 6 Material: Chapter 9 - Differential equations

• The idea of differential equations and their solutions
• Solving separable and linear equations
• Exponential growth and other applications of differential equations
• The geometry of differential equations; Euler's method

• Chapter 9 -- sections 9.1 through 9.3, also 7.2

Maple - dsolve, DEplot

Sixth Homework Assignment - due at lecture on Thursday, October 27.

1. Reading: Sections 9.1, 9.2, 9.3, 7.2
2. More reading: In the Maple/Calculus Lab Manual, read the section of the manual on "dsolve" and "DEplot".
3. Textbook assignment: (submit nothing) Make certain you can do the following problems from the textbook:
• Section 7.2, page 433, #3, 9, 23, 29, 37, 39
• Section 9.1, page 520, #7, 13, 19, 29, 35
• Section 9.2, page 526, #1, 11, 15, 23
• Section 9,3, page 533, #1, 13
4. Textbook assignment: Submit answers to the following textbook problems in lecture on Thursday October 27:
   • Section 7.2, page 433, #10, 14, 20, 24, 30, 34, 36, 40
   • Section 9.1, page 520, #1, 2, 3, 4, 10, 12, 20, 26, 36
   • Section 9.2, page 526, #4, 10, 16, 26
   • Section 9.3, page 533, #6, 14, 16