Math 308 - Spring 2001

Homework

Assignment 1

  1. Read sections 1.1-1.3.

  2. Solve:
    1. y' + y = t et (Ex. 4, § 1.2)
    2. y' - 2ty=1,   y(0) = 1 (Ex. 14, § 1.2)
    3. (1+t2)y' + 4ty=t,   y(1) = 1/4. (Ex. 16, § 1.2)

  3. The velocity in the parachute problem that we discussed in class satsified the ODE v'= -g - (k/m)v. Recall that the limiting velocity for the special case where v(0)=0 was vL = - mg/k. Show that no matter what v(0) is, the velocity v(t) has the same limit, vL, when t -> infinity.
We will discuss these on Thursday 18 January.

Assignment 2

Due: 25 January.

Assignment 3

Due: 1 February.

Assignment 4

Due: 8 February. Also, Project 1 is due 13 February.

Assignment 5

Due: 15 February. Also, Project 1 is due 13 February.

Assignment 6

Due: 22 February.

Assignment 7

Due: 1 March.

Assignment 8

Due: 8 March.

Assignment 9

Due: 22 March.

Assignment 10

Due: 29 March.

Assignment 11

Due: 5 April.

Assignment 12

Due: 12 April.

Assignment 13

Due: 19 April.