Math 256, Introduction to Differential Equations: Homework
1/3 |
1.2 |
1, 2, 7, 11 |
2.1 |
13,
14, 17 |
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1/5 |
2.1 |
1c), 3c), 6c), 12c), 15, 16, 18, 19, 20, 31, 34 |
1/7 |
2.2 |
3, 7, 8, 9, 14, 19, 23 |
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Homework due Wednesday, Jan. 12 |
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1/10 |
2.3 |
3, 7, 8, 9, 10, 13, 23 |
1/12 |
1.2 |
13 |
2.4 |
1-4, 27, 28 |
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1/14 |
2.4 |
13, 15, 16, 22a,b, 25 |
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Homework due Wednesday, Jan. 19 |
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1/17 |
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No class |
1/19 |
2.5 |
1, 3, 5, 7, 9, 10, 15a, 16a,b, 17a, 20 |
1/21 |
2.7 |
1a,b; 2a,b; 11a, 12a. |
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Homework due Wednesday, Jan. 26 |
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1/24 |
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No homework assigned |
1/26 |
3.1 |
1, 3, 5, 7, 9, 10, 16, 17, 20, 23 |
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Prove the Superposition Principle: if y1(t), y2(t) are solutions of the homogeneous differential equation y’’ + p(t)y’ + q(t)y = 0, then ay1(t) + by2(t) is also a solution for any pair of scalars a, b. |
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1/28 |
3.2 |
1, 3, 5, 6, 7, 8, 10, 12, 13, 14, 15, 17, 23, 27, 29 |
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Homework due Wednesday, Feb. 2 |
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1/31 |
3.3 |
1, 3, 4, 5, 7, 11, 20 23, 24 |
2/2 |
3.3 |
22 |
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3.4 |
1-6 |
2/4 |
3.4 |
7-10,
12-14, 17, 18, 20, 22, 27, 31 |
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Homework due Wednesday, Feb. 9 |
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2/7 |
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Review Session: no homework |
2/9 |
3.5 |
1, 3, 5, 6, 9,
12(you may use calculator to graph), 16 |
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Exercise from
class: compute W(exp(rt), t exp(rt)) |
2/11 |
3.6 |
1, 2, 3, 6, 13,
17, 18, 31, 32 |
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Homework due Wednesday, Feb. 16 |
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2/14 |
3.6 |
4, 5, 8, 14, 16 |
2/16 |
4.1 |
3, 7-10, |
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4.1 |
Bonus
problem (extra 10 points) 20 a, b, c |
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Exercise on
determinants: download .pdf file from
here |
2/18 |
4.1 |
11, 12, 13, 15, 17 |
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Homework due Wednesday, Feb. 23 |
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2/21 |
4.2 |
1, 3, 7, 9 |
2/23 |
4.2 |
11, 14, 18, 20, 22, 23 |
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4.2 |
Bonus problem (extra 5 points) 38 |
2/25 |
4.3 |
1, 2, 4, 5, 7, 15, 16 |
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Homework due Wednesday, March 2 |
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2/28 |
3.7 |
1, 3 |
3/2 |
3.7 |
5, 6, 13, 15 |
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4.4 |
1, 2, 6 |
3/4 |
4.4 |
4, 10, 11 |
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Homework due Wednesday, March 9 |
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3/7 |
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3/9 |
5.2 |
1, 2, 5 |
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