Math 340-220 - Spring 2012 - Homework Page

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Solutions and explanations to previous week's homework sets are provided below. Clicking on the link will produce a .pdf file to download, and clicking on the arrow will embed the document in your browswer.

Problem Set 1 - Tuesday Jan. 24

Computer Lab in Weber 205/206, 9:00 9:50am

Here are some exercises to use with *dfield*.

Problem Set 2 - Due Wednesday, Jan. 25

Section 1.2: #6,10,14;

Section 1.3: #2,6,12,14,20,24,27 (no sketches required);

Section 2.1: #2,4,6,8,10,12,14 (no plots or sketches required);

Problem Set 3 - Due Wednesday, Feb. 1

Section 2.1: #4,6,12 (now make the plots),22,25,27,29,31 (use dfield6);

Section 2.2: #2,8,12,14,18,20 (hand sketch sufficient), 24,25;

Problem Set 4 - Due Wednesday, Feb. 8

Section 2.3: #4,6,8,9,12;

Extra Problem: A woman of 60
kg bails out of an airplane at an altitude of 10,000 ft. She falls
freely (no air resistance) for 20 s and then opens the parachute.
The parachute provides an air resistance of –kv, where k=96 kg/s and
v is the velocity. When does the woman reach the ground and what is
her impact velocity? Use g=32 ft/s^{2} in your calculation.

Section 2.4: #2,4,6,8,14,18,29 - [Solutions to 14,18,29]

Section 2.6: #2,4,10,12,20,35,36 - [Solutions to 2,4,10,12,20] and [35 ,36]

Problem Set 6- Due Friday, Feb. 17

Section 2.7: 9,10,12(ii),14(ii); [Solutions to 9,10] and [12 ,14]

Section 2.9: 1,2,7,8,17,20; [Solutions to 1,2,7] and [8,17,20]

Section 3.1: 2,4,10; [Solutions to 2,4,10]

Problem Set 7 - Due Monday, Feb. 27

Section 4.1: #1, 3, 5, 7, 10, 14, 18, 19, 23

Section 4.3: #2, 10, 18, 21, 26, 30, 35

Section 4.4: #12, 16, 18, 24 [Solutions to 4.1,4.3,4.4 are here]

Section 4.5: #7, 12, 18, 20, 22, 26, 41

Problem Set 8 - Due Monday, March 5

Section 4.6: 8

Section 4.7: #7^{7},8^{7},16^{7},18,45 [Solutions to Section 4.5 & 4.7 are here]

Section 7.1: 2,4,6,9,16,18,26; Solutions: I,II,III

Section 7.2: 14,16,18; Solutions

Section 7.3: 2,4,10,12,23^{1},35^{1},36^{1} Solutions: I,II,III

^{1}application of RREF-command, software or calculator, allowed;

Problem Set 9 - Due Friday, March 23

Section 7.4: 2,4,12,14,20; Solutions: I,II

Section 7.5: 2,4,18,21^{1},24^{1},26, Solutions: I
30^{1};

Section 7.6: 4,6,16,22,24,26^{1},32,34;
^{1}:software allowed Solutions: I,II

Section 7.7: 12,13b,18,29; Solutions: I,II

Problem Set 11 - Due Wednesday, March 28

Section 8.1: 4,6,10,12,16,20,21; Solutions: I,II

Section 8.4: 2,4,6,8,10,12,16; Solutions: I

Section 8.5: 4,6,10,12,19,22,24,26; Solutions: I,II III

Problem Set 12 - Due Wednesday, April 4

Section 9.1: [12,14,26 (i)],[26 (ii)],28^{1},42^{1};

Section 9.2:[2,8],[10,12],[16,17],[22];

^{1}You can use all Matlab tools (or calculators) except the eig-command; see Chapter Notes 9.1, p.7-10

See pplane8

Section 9.2: [30,36];

Section 9.3: [12,16,22];

Section 9.4: 3;

Section 9.5: 8,14,24,30,44^{1},52^{1};

Section 9.6: [4,8],[17,19],37; ^{1}:software allowed;

Problem Set 13 - Due Wednesday, April 18

Section 9.8: 16,30,34 (classify phase plane portrait),42

Section 9.9: 2,4;

Problem Set - Due Wednesday, April 25

Section 5.1: 16,18,20,22,24;

Section 5.2: 2,4,6,30;

^{7}:click here for hints and instructions;

^{*}Note for #18: Use the real method to find the particular solution. Also determine the amplitude and phase angle of the particular solution. Plots are not required.

Problem Set - Due Monday, April 30

Section 5.3: 10,14,28;

Section 5.4: 12,14,22;

Section 5.5: 14,22,28;

Problem Set - Due Wednesday, May 2

Project due