Bitiruv malakaviy ishida chiziqli tenglamalarning yechishning Eyler- bernulli va Lagranj usullari bayon etiladi va bu usullar konkret misollarni yechishda tadbiq etiladi


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  1. Birinchi tartibli differensial tenglamalarning muhim sinflaridan biri Bernulli differensial tenglamasi va uni yechishda muhim rol o`ynaydigan birinchi tartibli chiziqli differensial tenglamani yechishni turli usullarini o`rganish muhim ahamiyatga egadir.

  2. Bitiruv malakaviy ishida chiziqli tenglamalarning yechishning Eyler- Bernulli va Lagranj usullari bayon etiladi va bu usullar konkret misollarni yechishda tadbiq etiladi.

  3. Bernulli differensial tenglamasini yechimini mavjudligi va yagonaligi haqidagi teoremaning isboti keltiriladi, shuningdek bu tenglamaning maxsus yechimi masalasi ham o`rganiladi.

  4. Bernulli differensial tenglamasiga keltirib yechiladigan tenglamalarning sinflari (Darbu, Yakobi va Rikkate differensial tenglamalari) o`rganiladi va bu hollarga doir konkret misollarni yechish ko`rsatiladi.

  5. Bernulli differensial tenglamasiga keltirib yechiladigan fizikayiy masala (argonning sirpanishi haqida masala ) o`rganiladi va uni yechishi bayon etiladi.

Adabiyotlar .

1. Salahiddinov M. S. Nasriddinov G.N. Oddiy differinsial tenglamalar,


Toshkent, ,,O`zbekiston’’, 1994 y
2. Qori – Niyoziy T.N. Tanlangan asarlar, 4-tom, Differinsial tenglamalar,
Fan, Toshkent, 1968 y

  1. Pontryachin L.S.Obknovenne differinsial uravneniya, M.1969 y

  2. Stepanov V. V Kurs differinsial uravneniy, Giz.fiz.mat. literature, 1958

  3. Yerugen N.P.i.dr. Kurs obknobennx differinsialnx uravneniy, Kiev, 1974 y

  4. Trikomi F. Differinsialne uravneniya, Izd. I.L. M.1962 y


  1. Samoylenko A. M. i.dr Differinsialne uravneniya; premir i zadachi, M 1989 y

  2. Guter R.S. Yanpoliskiy A.R.Differinsial tenglamalar, T 1973 y

  3. Petroviskiy I.G. Lektsin po teorin obkvonnex differinsialnx uravneniy M.Nauka 1964 y

  4. Xartman F.Obknovenne differinsialne uravneniya, izd. ,,Mir”, M 1970 y

  5. Koddinchton E.A.Lebisson G. Teoriya obknovenne differinsialnx uravneniy, M. IL. 1958 y

  6. Elischolis L.E. Differinsialnx uravneniya I variatsionnoe ischesliniya, Nauka, Moskva, 1965 y

  7. R.S.Gaute, A.R. Yanpoliskiy ,,Differinsial tenglamalar “ T 1978 y

  8. Fediryuk M.V. Obknovenne differinsialne uravneniya, M.1980 y



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