1-mavzu. Differensial tenglamalar faniga kirish. O’zgaruv

Mundarija.
So’z boshi…………………………………………………………………..……3
1-mavzu: Differensial tenglamalar faniga kirish. O’zgaruvchilari ajralgan va ajraladigan differensial tenglamalar…………………………………………..…4
2-mavzu: Bir jinsli va bir jinsliga olib kelinadigan differensial tenglamalar. Amaliy masalalarga tadbiqi.(Ko’zgu masalasi)…………………………………7
3-mavzu: Chiziqli differensial tenglamalar va uni yechishning Lagranj va Bernulli usullari. Amaliy masalalarga tadbiqi………………………………….10
4-mavzu: Bernulli tenglamasi. To’la differensialli tenglamalar. Integrallovchi ko’paytuvchi……………………………………………………………………13
5-mavzu: Hosilaga nisbatan yechilmagan tenglamalar. Klero va Lagranj tenglamalari………………………………………………………………….…22
6-mavzu: Tartibini pasaytirish mumkin bo’lgan yuqori tartibli differensial tenglamalar………………………………………………………………….….26
7-mavzu: Yuqori tartibli chiziqli differensial tenglamalar. Vronskian. Fundamental yechim.Asosiy teoremalar…………………………………….....30
8-mavzu: Ikkinchi tartibli differensial tenglamalar va ularni yehishning o’zgarmasni variasiyalash usuli. Ostrogradskiy-Liuvill formulasi…………….32
9-mavzu: O’zgarmas koeffisientli chiziqli bir jinsli differensial tenglamalar. Xarakteristik ko’pxad…………………………………………………………..42
10-mavzu: O’ng tomoni maxsus ko’rinishda bo’lgan o’zgarmas koeffisientli bir jinsli bo’lmagan chiziqli differensial tenglamalar……………………………..45
11-mavzu: Differensial tenglamalarni analitik va taqribiy yechish usullari(matematik paketlar yordamida)……………………………………….49
12-mavzu: Differensial tenglamalar sistemasi va uni yechish usullari………..59
13-mavzu: Laplas almashtirishlari. Asl va tasvir……………………….…….63.
14-mavzu: Asl va tasvirning asosiy xossalari………………………………....63
15-mavzu: Differensial tenglama va differensial tenglamalar sistemalarini yehichning operatsion hisob usuli……………………………………………..68
Foydalanilgan adabiyotlar…………………………………………….71
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