Методические указания к практическим занятиям по обыкновенным дифференциальным уравнениям
Описание файла
PDF-файл из архива "Методические указания к практическим занятиям по обыкновенным дифференциальным уравнениям", который расположен в категории "". Всё это находится в предмете "математический анализ" из 2 семестр, которые можно найти в файловом архиве МАИ. Не смотря на прямую связь этого архива с МАИ, его также можно найти и в других разделах. Архив можно найти в разделе "книги и методические указания", в предмете "математический анализ" в общих файлах.
Просмотр PDF-файла онлайн
Текст из PDF
(! "#$%%&' "$(%)*$ +)' %)#$! )"$")________________________________________.$ ! “"$0 ")*$ + 1 +)2$!%$")+ ”..55666“6”“”2008.".#$%:.1.".#$%.2;........................................................................................................................................ 5! " " 1.! " " 2.$ %++ (2.1.4&' &, " - $%(& ............................................................. 6("& 1-! % (& /" ....................................... 815 .621-37 / 2 .......................................................................................................................
92.21-3 45 ,2.2.1:" 32:: 2;1;1444:. 11............................... 11.................................................. 11%2.1................................................................................................................................ 12%2.2................................................................................................................................ 132.2.2.,4415:;1................................................................................................................................
152.2.3.1-3 4" 3%231-3 45 ........................................... 155 .............................................................. 162.3................................................................................................................................ 172.2.4.,412.2.5................ 181-3 45 ................................................ 1924...............................................................................................................................
20%2.4................................................................................................................................ 21%2.5................................................................................................................................ 22%35" 3" 32%%3,44:5 ........................ 2315.. ................................................................................................................... 252@........................................................................................... 262.7................................................................................................................................ 262.2.7." 342.6................................................................................................................................
24@" 3332.2.6.2.3.342......................................... 284............................................................. 282.8................................................................................................................................ 291-3 45 ,: 24:........................................................................................................................................................... 30.".#$%" 32,: 234.3:4..................................................................................................................................
31%2.9................................................................................................................................ 32%2.10.............................................................................................................................. 32! " " 3.++ (3.1., " - $("& $ A B % (& /1243.2.25.............................................................................................................................
347%......................... 343245..................................................................... 353.1................................................................................................................................ 35C1322 3 45 ,4 5 ;1 3 4D45 ... 36%3.2................................................................................................................................ 37%3.3................................................................................................................................
38%3.4................................................................................................................................ 393.3. ( 2:7 / 2" 3%2:247 / 25................................................................. 41n -3 45 ....................................................... 413.5................................................................................................................................ 41! " " 4.F $++ (4.1., " - $4" 32("& ........................................... 435 G() ..............................
44...................................................................................................... 44%4.1................................................................................................................................ 45%4.2................................................................................................................................ 46%4.3................................................................................................................................
47%4.4................................................................................................................................ 474.2.44.2.1. ( 25 G4" 3(:244) .......................... 49.................................. 49:4....................... 49%4.5................................................................................................................................ 50%4.6................................................................................................................................ 514.2.2.
J" 324C732244474;74C; .......... 5373.................................................................................................................................... 53%4.7................................................................................................................................
55%4.8................................................................................................................................ 56%4.9................................................................................................................................ 58! " " 5.' J$++ (, " - $B ("F() ................................. 60.".#$%5.1.4J5 ;7%............................. 62.................................................................................................................. 622.................................................................................................... 63%5.2................................................................................................................................ 65%5.3................................................................................................................................ 67%5.4................................................................................................................................
695.2.4" 32" 327326.1. J4%:4(47) ....... 71.................... 714C.................................................................................................................... 72' !( (L5 G4! " " 6. K"++ (, " - $B ("F...
74............................................................................................................................ 746.1................................................................................................................................ 766.2. J56.3. J(%%5 G5.1................................................................................................................................ 62" 3%(.4L3 -/................................................................................................. 79...................................................................................................................
806.2................................................................................................................................ 81J '/-" +"' $F /"6"'- ............................................................................ 84' ("' ($............................................................................................................... 87.".#$%;44: 7 524:4 5 7 57:7.
L7 5CM74.5:,7D:4,47, 4t=05;1..44m, CDDy0523; V0 , 42-3 : 5;D47:.:y = g,y(0) = y 0 , y (0) = V0( 2:7: 7 5 3 41.34: 7 54, 42.D.5( 2,5: ;1,445: 7 544C1.( 2: 5 ,4D,5 ,.:3y( t ) , ::D525,G 4 :,44543.::.277,5D;. .G5;D.".#$%1.(6;;1:4x -y( x ) -5:x::::(54y( x )=!$ $>$%)$ 1.2. %5C1:1-3 , 2-3 , 3-3:,:4..5 ,5 (: 27724:.4:41)25::, 5,::):::.3D=!$ $>$%)$ 1.5.
( 2)1y ( n ) = f ( x , y, y , y , y ....y ( n=!$ $>$%)$ 1.4. %5.42n-3 4): 2DC13, 44.545CC 13.( 2,( x , y) = 0 ,;1:;.!5. .F( x , y, y , y , y ....y ( n ) ) = 05 :=!$ $>$%)$ 1.3.4y( x ) ,5n-3 4C: 5– G:D1-3 , 2-3 , 3-3 , 4-35=!$ $>$%)$ 1.1.D55dy, d 2 y, d 3 y.... -464y , y , y , y ( 4) ....y ( n ) ... - 4n-3 46C : 7:.652:35.33.".% 55#$%4D3, 4(5),27C7;12C15 ,2:=!$ $>$%)$ 1.7. K2: 74:, ;C4C 5:D7D,D 1C :( x, y, C1 , C 2 ..C n ) = 0 ,;135n4).2n-3 45 C1 35C :: 53!4.' 5D(n 5.2C13 524=!$ $>$%)$ 1.6.