MATH 308 Sec 511 Spring 2009: Homework

Text: Differential Equations & Boundary Conditions by Nagle, Saff and Snider,
Custom Edition for TAMU. ISBN 0-536-29585-9

Assignment 1

Section 1.1 -- p. 5 #1,3,5,7,9,11
Section 1.2 -- p. 14 #3,5,7,8,9,11,14,17,18,20,21,22,29,31
Section 1.3 -- p. 22 Draw all direction fields using DEplot. #4,5,6,7,8,9,10c,17
Section 2.1 -- Read the section.
Section 2.2 -- p. 46 Solve all by hand. Check by hand and with dsolve. #3,4,5,12,14,15,19,23,26,28(Plot using Maple.),29,31,33,38(Also plot the direction field.)

Assignment 2

Section 2.3 -- p. 54 #5,7,10,11,14,21,25a,28,29,32,35,36
Section 1.4 -- p. 28 #5,8,12(Is this an over or under estimate? Why? Don't just compare the numbers to e.)
Section 2.4 -- p. 65 #5,11,17,23,29
Section 2.6 -- p. 78 #13,21

Assignment 3

Section 4.1 -- p. 158 #2
Section 4.2 -- p. 164 #5,8,1011,14,21,27b,30,31,33,36
Section 4.3 -- p. 174 #2,5,8,11,22,24,25ab,27abd
Section 4.4 -- p. 179 #1,4
Section 4.5 -- p. 187 #6,10,17,18,24,28,36,39
Section 4.6 -- p. 196 #3,8,12,25,28(Plot with Maple),29b(Hint: One root is r=2.),38

Assignment 4

Section 4.7 -- p. 200 #9,12b,17a,18
Section 4.8 -- p. 209 #3,6,9,12,15,18,24,32,49,50,55,56
Section 4.9 -- p. 215 #5,10,15,20,25
Section 4.11 -- p. 236 #3, 5(also k=0),12
Section 4.12 -- p. 245 #5, 9, 12

Assignment 5

Section 6.1 -- p. 342 #10,12,17,19
Section 6.2 -- p. 349 #19,31ab
Section 6.3 -- p. 355 #2(Hint: One root is r=1.),7,18,21
Section 6.4 -- p. 359 #5,8

Assignment 6

Section 5.1 -- Read the section.
Section 5.2 -- p. 268 #9,18,31
Section 5.5 -- p. 302 #1,5
Section 5.6 -- p. 309 #3,11

Assignment 7

Section 9.1 -- p. 525 #11
Section 9.2 -- p. 530 #11
Section 9.3 -- p. 539 #4,13,15,16,19,25,29,30,34,35,38
Section 9.4 -- p. 548 #3,7,12,15,17,22,23

Assignment 8

Section 9.5 -- p. 559 #8,10,13,17(Use Maple for plotting.),21,24,29,30,33,35,38(Extra Credit),42,43,45,50
Section 9.6 -- p. 567 #1,7,9,13,17,21
Section 9.7 -- p. 573 #3,8,13,21,35
Section 9.8 -- p. 584 #9,24

Last modified by pby on Apr 12, 2009.