Talaba mustaqil ishining maqsad va vazifalari

Mundarija.
1-mustaqil ish: Differensial tenglamalar faniga kirish. O’zgaruvchilari ajralgan va ajraladigan differensial tenglamalar………………………………..…..………..…7
2-mustaqil ish: Bir jinsli va bir jinsliga olib kelinadigan differensial tenglamalar. Amaliy masalalarga tadbiqi.(Ko’zgu masalasi)………………………………….…9
3-mustaqil ish: Chiziqli differensial tenglamalar va uni yechishning Lagranj va Bernulli usullari. Amaliy masalalarga tadbiqi…………………………………….11
4-mustaqil ish: Bernulli tenglamasi. To’la differensialli tenglamalar. Integrallovchi ko’paytuvchi……………………………………………….………12
5-mustaqil ish: Hosilaga nisbatan yechilmagan tenglamalar. Klero va Lagranj tenglamalari…………………………………………………………………….…15
6-mustaqil ish: Tartibini pasaytirish mumkin bo’lgan yuqori tartibli differensial tenglamalar…………………………………………………………………….….17
7-mustaqil ish: Yuqori tartibli chiziqli differensial tenglamalar. Vronskian. Fundamental yechim.Asosiy teoremalar……………………………………….....20
8-mustaqil ish: Ikkinchi tartibli differensial tenglamalar va ularni yehishning o’zgarmasni variasiyalash usuli. Ostrogradskiy-Liuvill formulasi……………….21
9-mustaqil ish: O’zgarmas koeffisientli chiziqli bir jinsli differensial tenglamalar. Xarakteristik ko’pxad……………………………………………………………..22
10-mustaqil ish: O’ng tomoni maxsus ko’rinishda bo’lgan o’zgarmas koeffisientli bir jinsli bo’lmagan chiziqli differensial tenglamalar……………………………..25
11-mustaqil ish: Differensial tenglamalarni analitik va taqribiy yechish usullari(matematik paketlar yordamida)…………………………………….…….31
12-mustaqil ish: Differensial tenglamalar sistemasi va uni yechish usullari…....34
13-mustaqil ish: Laplas almashtirishlari. Asl va tasvir…………………………..38
14-mustaqil ish: Asl va tasvirning asosiy xossalari……………………………...40
15-mustaqil ish: Differensial tenglama va differensial tenglamalar sistemalarini yehichning operatsion hisob usuli………………………………………………..43