Homework 1, Due Monday January 11th
Section 2.1: 2, 8, 22, 24, 32
On any problem asking you to "draw", "sketch", or "plot", you may use any piece of software you like (or even do it by hand, if you prefer).
|
Homework 2, Due Friday January 15th
Section 2.2: 2, 16, 36
Section 2.4: 4, 14, 24, 38
|
|
Homework 3, Due Friday January 22nd
Section 2.5: 2, 4 (also, draw a direction field for the differential equation you find), 9
Section 2.6: 10, 15, 26, 30, 38, 48 (alternate hint: try the substitution u=ln(xy+1))
Also: y'=a(t)y+b(t) is a linear differential equation. Demonstrate that u(t)=e∫-a(t)dt is an integrating factor in the sense of Section 2.6—that is, that when we multiply by u(t), the result is exact.
|
|
Homework 4, Due Friday January 29th
Section 2.7: 8, 10, 28
Section 2.9: 12
|
|
Homework 5, Due Friday February 5th
Section 2.9: 8, 18
Section 4.1: 4, 14, 22, 26, 28
Also: Write down a first-order autonomous differential equation such that y=t is a solution.
|
|
Homework 6, Due Friday February 12th
Section 4.3: 2, 10, 18, 28
Section 4.4: 8, 18, 24
Section 4.5: 6, 20, 26, 48
|
|
Homework 7, Due Friday February 26th
Section 9.1: 2, 8, 19
Section 9.2: 4, 6, 18, 24, 32, 38, 58
|
|
Homework 8, Due Friday March 5th
Section 9.3: 10
Section 9.4: 4, 13, 14, 15, 16
Section 9.5: 24, 26, 54
Section 9.6: 6
|
Homework 9, Due Friday March 12th
Section 9.4: 26
Section 9.6: 8, 30, 32, 34, 46
|
|