XXI asr - texnologiyalar asri hisoblanadi. Shunday ekan o‘quv jarayonida turli zamonaviy axborot vositalaridan o‘rinli foydalanish, kompyuterli ta’lim jarayonida darslarni o‘quvchi-talaba va kompyuter orasidagi munosabatlarga ko‘ra tashkil etish, boshqarish, nazorat qilish bugungi kunda dolzarb masalalardandir.Tabiiy fanlar hamda texnika fanlarida uchraydigan ko‘pgina masalalar differensial tenglamalarga keltiriladi,ya’ni ularning analitik yechimini topish nihoyatda murakkab masala,shu sababli taqribiy yechish usullaridan foydalanish ko‘proq samara beradi.Bunday muammolarni hal qilish uchun esa matematik paketlar mavjud bo‘lib,ushbu maqolada differensial tenglamalarni Maple dasturida yechish haqida gap boradi.Ya’ni, birinchi tartibli chiziqli oddiy differensial tenglamani Maple dasturida analitik yechimini topish dasturi tuzilib natija olingan.
This paper describes a method for constructing other Pythagorean pairs using a one Pythagorean pair. The process of constructing an infinite number of generating Pythagorean pairs is presented. Using a given Pythagorean pair, one can obtain a parametric equation that yields a Pythagorean triple. A parametric equation is given that gives an infinite number of Euler triples using one Pythagorean pair.
In this work an existence and uniqueness of solution of non-local boundary value problem with discontinuous matching condition for the loaded parabolic-hyperbolic equation involving the Riemann-Liouville fractional derivative have been investigated. The uniqueness of solution is proved by the method of integral energy and the existence is proved by the method of integral equations.
Berilgan spectral ma’limotlar asosida bir o‘lchovli Dirak operatori parametrlarini tiklash masalasi qaralqai. Masalani yechisha qulay almashtirishlar hisoboga ixcham hisoblash algoritmi qurilgan.
In this paper, we proved the unique solvability of the local boundary value problem with the Frankl condition for a degenerating of mixed type equation with a fractional derivative
This article examines a mathematical model of the technological process of kaolin enrichment, while identifying several phases in the development of the culture of microorganisms. Taking into account the kinetic dependences, an equation was drawn up that describes the process of cultivating bacteria in a continuous mode, in which a decrease in the concentration of iron is reflected in a graphical form. Questions of determining unknown coefficients based on the problem of parametric identification and implementation of models
Mexanika, fizika, biologiya, iqtisod va boshqa fanlar masalalari nochiziqli tenglamalarga yoki ularning sistemalariga keltiriladi. Bunday tenglamalarni yechimlari regulyar va singulyar yechimlarga bo‘linadi. Regulyar yechim yaqinida oshkormas funksiya haqidagi teorema yoki uning analogi qo‘llaniladi, u boshqa barcha yaqin yechimlarning tavfsifini beradi. Singulyar yechim yaqinida oshkormas funksiya haqidagi teoremani qo‘llab bo‘lmaydi. Ushbu ishda Darajali gometriyaning asosiy konsepsiyasi unga kiruvchi monom darajalari ko‘rsatkichlari bo‘yicha tenglamalar yechimlari xossalarini o‘rganish hisoblanadi.
This article analyzes the tax burden and its impact on macroeconomic indicators, econometric modeling of the optimization of the tax burden in the national economy, gross domestic product, budget revenues and expenses, and the interdependence of tax burden indicators, the impact of changes in the tax burden indicator on the gross domestic product, budget revenues and cost impact analysis was carried out. Also, regression statistical analysis of GDP size and factors affecting it, influence of tax burden indicator on changes in the volume of state budget revenues and expenses in the national economy was analyzed based on econometric methods.
The article is devoted to econometric modeling and forecasting of business development using correlation and regression analysis. Also, a model for the development of GDP business is given, taking into account the indicators of the share of business in the number of employees in the volume of agricultural production, exports of the Republic of Uzbekistan, and the forecast value of the share of business in GDP by 2021–2025.