1 | 2 | 3 | 4 | 5 | 6 |
25 | y/ = 4y2e4x (1- x3) - 4x3y | y(0)= -1 | 46 | y//= x2y + y | y(0) = 1 y/(0) = 0 |
26 | y/= y + 2xy2 |
| 47 | y// = x + y2 | y(0) = 0 y/(0) = 1 |
27 | y/ = 2x3y3 – 2xy |
| 48 | y// = x2y – y/ | y(0) = 1 y/(0) = 0 |
28 | 4y/=(x3+8)e-2xy2-x2y | y(0) = 1 | 49 | y/ = ey + xy | y(0) = 0 |
29 | 2y/ = xy2 –2y | y(0) = 2 | 50 | y/ = 2x - y | y(0) = 2 |
30 | y/ +xy =(x-1)exy2 | y(0) = 1 | 51 | y/ = 2y2 + yex |
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31 | y/ =xy2 + y | y(0) = 1 | 52 | y/ = y2 + x3 |
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32 | y/ =xy + x2 + y2 |
| 53 | xy// + y = 0 | y(1) = 0 y/(1) = 1 |
33 | y/ =xy + y2 |
| 54 |
| y(1) = 1 y/(1) = 0 |
34 | y/ = 2x – xy - 0,1y2 | y(0) = 1 | 55 | y/ = arcsin y + x |
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35 | y/ = x + y + y2 |
| 56 | y/ = xy + Ln(x+y) | y(1) = 0 |
36 | y/=x2 Sin x + y | y(0) = 1 | 57 | y/ = x + y - 1 | y(0) = 1 |
37 | y/=x2 + Sin x + y2 |
| 58 | y/ = 2x + Cos y | y(0) = 0 |
38 | y/=Cos y + 2x Cos x | y(0) = 0 | 59 |
| y(0) = 1 |
39 | y/= y Sin x – 3Sin y |
| 60 | y/+ y Cosx - 3exy2 –Sinx = 0 | y(0) = 1 |
40 | y/= e2x - 2x2y | y(0) = 1 | 61 | 2y/-(x+y)y-ex=0 | y(0) = 2 |
41 | y/= 2x2 + yex |
| 62 | y/-4y+2xy2-e3x=0 | y(0) = 2 |
42 | y/-4y+2xy2-e3x=0 | y(0) = 2 | 63 | (1+x2) y// + 5xy/ + +3y = 0 | y(0) = 0 y/(0) = 1 |
43 | y// = y Cos y/ + x | y(0) = 1
| 64 | (1+x2)y//+y=0 | y(1) = 1 y/(1) = 1 |
44 | y// = x2 + y2 | y(-1) = 2
| 65 | (x2 – x + 1)y// + (4x-2)y/ = -2 | y(0) = 2 y/(0) =1 |
45 | y// = ( y/ )2 + xy | y(0) = 4 y/(0) = -2 | 66 | (1 - x)y// - y/ + ex× (x+1) = 0 | y(0) = 0 y/(0) = 1 |
Продолжение табл.1.6.
1 | 2 | 3 | 4 | 5 | 6 |
67 |
| y(1) = 1 y/(1) = 0 | 84 | (1 - x2)y// - 2xy/ + +2y = 0 |
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68 | y// = xyy/ | y(0) = 1 y/(0) = 1 | 85 | y/// = y | y(0) = 1 y/(0) = 0 y//(0) = 0 |
69 | y/// = yex – x(y/ )2 | y(0) = 1 y/(0) = 1 y//(0) = 1 | 86 | y/// = xy/ + y | y(1) = 1 y/(1) = 0 y//(1) =1 |
70 | y/// = y//+(y/ )2+y3+x | y(0) = 1 y/(0) = 2 y//(0)=05 | 87 | y///-x2y//-xy/-y=0 | y(0) = 1 y/(0) = 1 y//(0) = 0 |
71 | y// = y | y(0) = 0 y/(0) = 1 | 88 | y/ = arctg y + x | y(0) = 1 |
72 | y// + 2xy = 0 | y(1) = 1 y/(1) = 0 | 89 | y/ = eCos x + y |
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73 | y// - xy/ - 2y = 0 | y(1) = 0 y/(1) = 1 | 90 | y/ = Siny + 2Cosx | y(0) = 0 |
74 | y// - x2y = 0 | y(1) = 0 y/(1) = 1 | 91 | y/=x+y+Ln(x+2y) | y(1) = 0 |
75 | y// + xy/ + y = 0 | y(0) = 1 y/(0) = -1 | 92 |
| y(0) = 1 |
76 | (1-x2)y//-4xy/-2y=0 | y(0) = 1 y/(0) = 1 | 93 | y/ = x – arccosy |
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77 | (1-x)y//+xy/-y=0 | y(-1) = 0 y/(-1) = 1 | 94 | y/ = ey + Cosx | y(0) = 0 |
78 | y// + xy/ = x | y(1) = 1 y/(1) = 0 | 95 | y/+Ln(x+y)+x=0 | y(0) = 1 |
79 | y/+(y+tgx)Cosx=0 | y(0) = 1 | 96 | xy/ + x2y = Lnx | y(1) = 0 |
80 | y// + xy/ + arctgx = y | y(0) = 1 y/(0) = 1 | 97 | y// +x2y/ - ex = 0 | y(0) = 1 y/(0) = 0 |
81 | exy/ + yx2 = ex | y(0) = 1 | 98 | (1 +x)y/ + xey = 1 | y(0) = 0 |
82 | y// + arctgx = y/ | y(0) = 0 y/(0) = 1 | 99 | y/ = x2y + y3 | y(1) = 1 |
83 | xy// + y/ + y = ex | y(1) = 0 y/(1) = e | 100 | (1 - x)y// + 4xy/ + +y2 = 0 | y(0) = 1 y/(0) = 2 |
1.2.7. Задание 7
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Из за большого объема этот материал размещен на нескольких страницах:
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