Sec. 5.1: 1b, 1d, 2b, 2c, 6c
Note that there is a typo in 1b. The correct equation is:
y'=(2/t)y + t^2 exp(t). In other words, the equations in 1b and 6c
are the same.
Sec. 5.2: 1c, 2c, 3d, 4d, 5
Create your own account referring the instructions of the following page:
How to use Matlab in the Math Department Computer Lab (451 Kerr)
Sec. 5.2: 9
Sec. 5.3: 1a, 1d, 2a, 2d, 5 (in 5d, use linear interpolation instead of Hermite interpolation)
Sec. 5.4: 1a, 1d, 2a, 2d, 3a, 3d
Sec. 5.4: 10a, 10d, 13, 16 Note: Since the following problems require significant programming (i.e., the Runge-Kutta-Fehlberg Method), you do not have to solve this time. If you solve this, you get extra credit, but not necessary.
Sec. 5.5: 1a, 1d, 3a, 3d
Sec. 5.6: 1a, 1d, 2a, 2d, 9, 10
Note: Because it is time cosuming to do all the Adams-Bashforth or Adams-Moulton methods, you only have to do two-step and four-step versions for Problem 1a, 1d, 2a, 2d.
Sec. 5.7: 1a, 1d
Sec. 5.9: 1a, 1c
Sec. 5.10: 4, 8
Sec. 5.11: 1a, 1c, 2a, 2c
Sec. 5.11: 4a, 4c
Sec. 11.1: 1, 4a, 5
Sec. 11.2: 1, 3c