|
Номер |
Уравнение |
Начальные условия |
|
1 |
 |
y(0) = 3, y'(0) = 0 |
|
2 |
 |
y(0) = ln 4, y'(0) = 3 ( 1 - ln 2 ) |
|
3 |
y'' + 4 y = 8 ctg 2 x |
 |
|
4 |
 |
y(0) = 1 + ln 2, y'(0) = 6 ln 2 |
|
5 |
 |
y(0) = 0, y'(0) = 0 |
|
6 |
 |
 |
|
7 |
 |
y(0) = 2, y'(0) = 0 |
|
8 |
 |
y(0) = 4 ln 4, y'(0) = 3 ( 3 ln 4 - 1) |
|
9 |
y'' + y = 4 ctg x |
 |
|
10 |
 |
y(0) = 1 + 3 ln 3, y'(0) = 10 ln 3 |
|
11 |
 |
y(0) = 0, y'(0) = 0 |
|
12 |
 |
 |
|
13 |
 |
y(0) = 1, y'(0) = 0 |
|
14 |
 |
y(0) = ln 27, y'(0) = ln 9 - 1 |
|
15 |
y'' + 4 y = 4 ctg 2x |
 |
|
16 |
 |
y(0) = 1 + 8 ln 2, y'(0) = 14 ln 2 |
|
17 |
 |
y(0) = 0, y'(0) = 0 |
|
18 |
 |
 |
|
19 |
 |
y(0) = 3, y'(0) = 0 |
|
20 |
 |
y(0) = ln 4, y'(0) = ln 4 - 2 |
|
21 |
 |
 |
|
22 |
 |
y(0) = 1 + 3 ln 3, y'(0) = 5 ln 3 |
|
23 |
 |
y(0) = 0, y'(0) = 0 |
|
24 |
 |
 |
|
25 |
 |
y(0) = 2, y'(0) = 0 |
|
26 |
 |
y(0) = ln 27, y'(0) = 1 - ln 9 |
|
27 |
y'' + y = 2 ctg x |
 |
|
28 |
 |
y(0) = 1 + 2 ln 2, y'(0) = 3 ln 2 |
|
29 |
 |
y(0) = 0, y'(0) = 0 |
|
30 |
 |
 |