Задание 22. Найдите решение смешанной задачи для неоднородного волнового уравнения в прямоугольнике (см. Пример 27)
.
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№ |
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1 |
9 |
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1 |
3 |
|
|
|
2 |
1 |
|
5 |
7 |
0 |
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|
3 |
4 |
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2 |
3 |
|
0 |
|
4 |
9 |
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3 |
5 |
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|
|
5 |
4 |
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3 |
5 |
0 |
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|
6 |
1 |
|
4 |
6 |
|
0 |
Продолжение таблицы
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№ |
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| |||||
|
7 |
16 |
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3 |
5 |
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0 | |||||
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8 |
9 |
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4 |
6 |
0 |
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|
9 |
4 |
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2 |
4 |
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0 | |||||
|
10 |
4 |
|
2 |
4 |
|
0 | |||||
|
11 |
1 |
|
2 |
1 |
0 |
| |||||
|
12 |
9 |
|
4 |
2 |
0 |
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|
13 |
4 |
|
5 |
3 |
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| |||||
|
14 |
16 |
|
2 |
1 |
|
0 | |||||
|
15 |
25 |
|
3 |
1 |
0 |
| |||||
|
16 |
9 |
|
4 |
2 |
|
| |||||
Продолжение таблицы
|
№ |
|
|
|
|
|
|
|
17 |
4 |
|
9 |
6 |
|
0 |
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18 |
16 |
|
1 |
3 |
0 |
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|
19 |
29 |
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2 |
4 |
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|
|
20 |
9 |
|
3 |
2 |
|
0 |
|
21 |
4 |
|
4 |
5 |
0 |
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|
22 |
9 |
|
5 |
6 |
|
0 |
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23 |
1 |
|
2 |
3 |
|
|
|
24 |
4 |
|
4 |
6 |
0 |
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|
25 |
16 |
|
3 |
5 |
|
0 |
|
26 |
4 |
|
2 |
3 |
|
|
|
27 |
9 |
|
1 |
2 |
|
0 |
Окончание таблицы
|
№ |
|
|
|
|
|
|
|
28 |
16 |
|
5 |
3 |
|
0 |
|
29 |
4 |
|
3 |
2 |
|
|
|
30 |
25 |
|
2 |
1 |
0 |
|
|
№ |
|
|
|
|
|
|
|
1 |
1 |
0 |
1 |
0 |
1 |
0 |
|
2 |
0 |
1 |
0 |
1 |
1 |
0 |
|
3 |
1 |
0 |
1 |
0 |
0 |
1 |
|
4 |
1 |
0 |
1 |
0 |
1 |
0 |
|
5 |
1 |
0 |
1 |
0 |
1 |
0 |
|
6 |
0 |
1 |
0 |
1 |
1 |
0 |
|
7 |
1 |
0 |
1 |
0 |
0 |
1 |
|
8 |
1 |
0 |
1 |
0 |
1 |
0 |
|
9 |
0 |
1 |
0 |
1 |
1 |
0 |
|
10 |
1 |
0 |
1 |
0 |
0 |
1 |
|
11 |
1 |
0 |
1 |
0 |
0 |
1 |
|
12 |
1 |
0 |
1 |
0 |
1 |
0 |
|
13 |
0 |
1 |
0 |
1 |
1 |
0 |
|
14 |
1 |
0 |
1 |
0 |
0 |
1 |
|
15 |
1 |
0 |
1 |
0 |
1 |
0 |
|
16 |
0 |
1 |
0 |
1 |
1 |
0 |
|
17 |
1 |
0 |
1 |
0 |
0 |
1 |
|
18 |
1 |
0 |
1 |
0 |
1 |
0 |
|
19 |
0 |
1 |
0 |
1 |
1 |
0 |
|
20 |
1 |
0 |
1 |
0 |
0 |
1 |
|
21 |
0 |
1 |
0 |
1 |
1 |
0 |
|
22 |
1 |
0 |
1 |
0 |
0 |
1 |
|
23 |
1 |
0 |
1 |
0 |
1 |
0 |
Окончание таблицы
|
№ |
|
|
|
|
|
|
|
24 |
0 |
1 |
0 |
1 |
1 |
0 |
|
25 |
1 |
0 |
1 |
0 |
0 |
1 |
|
26 |
1 |
0 |
1 |
0 |
1 |
0 |
|
27 |
0 |
1 |
0 |
1 |
1 |
0 |
|
28 |
1 |
0 |
1 |
0 |
0 |
1 |
|
29 |
1 |
0 |
1 |
0 |
1 |
0 |
|
30 |
0 |
1 |
0 |
1 |
1 |
0 |
Задание 23. Найдите решение смешанной задачи для неоднородного волнового уравнения в круге (см. Примеры 28).
,
,
.
|
№ |
|
|
|
|
|
|
|
|
1 |
4 |
|
6 |
1 |
2 |
|
0 |
|
2 |
1 |
|
6 |
1 |
1 |
|
0 |
|
3 |
9 |
|
4 |
2 |
1 |
|
0 |
|
4 |
1 |
|
4 |
1 |
1 |
0 |
|
|
5 |
4 |
|
4 |
0 |
1 |
0 |
|
|
6 |
16 |
|
4 |
2 |
1 |
|
0 |
|
7 |
25 |
|
4 |
0 |
1 |
0 |
|
Продолжение таблицы
|
№ |
|
|
|
|
|
|
|
|
8 |
4 |
|
4 |
1 |
0 |
0 |
|
|
9 |
6 |
|
3 |
0 |
1 |
|
0 |
|
10 |
1 |
|
3 |
1 |
0 |
0 |
|
|
11 |
25 |
|
5 |
1 |
0 |
|
0 |
|
12 |
36 |
|
6 |
1 |
1 |
0 |
|
|
13 |
4 |
|
6 |
0 |
1 |
0 |
|
|
14 |
1 |
|
6 |
1 |
0 |
|
0 |
|
15 |
9 |
|
5 |
1 |
0 |
|
0 |
|
16 |
4 |
|
5 |
2 |
1 |
|
0 |
|
17 |
1 |
|
6 |
1 |
0 |
0 |
|
|
18 |
4 |
|
6 |
0 |
1 |
|
0 |
|
19 |
9 |
|
6 |
2 |
1 |
|
0 |
|
20 |
9 |
|
6 |
1 |
0 |
0 |
|
|
21 |
16 |
|
5 |
1 |
1 |
|
0 |
Окончание таблицы
|
№ |
|
|
|
|
|
|
| |
|
22 |
4 |
|
5 |
0 |
1 |
0 |
| |
|
23 |
4 |
|
3 |
0 |
1 |
|
0 | |
|
24 |
9 |
|
3 |
2 |
1 |
0 |
| |
|
25 |
9 |
|
3 |
1 |
2 |
|
0 | |
|
26 |
16 |
|
3 |
2 |
1 |
|
0 | |
|
27 |
16 |
|
1 |
1 |
0 |
|
0 | |
|
28 |
25 |
|
4 |
1 |
0 |
0 |
| |
|
29 |
25 |
|
5 |
0 |
1 |
|
0 | |
|
30 |
4 |
|
5 |
1 |
0 |
0 |
| |
