Chiziqli differensial tenglamani yechishning besh xil usul va shuningdek, matematik paketlar imkoniyatlaridan foydalanish matematika oʻqitish metodikasida metodik tahlil sifatida

Ushbu maqolada chiziqli differensial tenglamalarni yechishning besh xil usuli ilmiy-metodik jihatdan tahlil qilingan. Shuningdek, MATLAB, Maple, Mathematica va Python (SymPy) kabi zamonaviy matematik paketlarning imkoniyatlari hamda ulardan matematika ta’limi jarayonida samarali foydalanish masalalari yoritilgan. Har bir usulning afzalliklari, qo‘llanish sohasi va talabalarning mantiqiy hamda matematik tafakkurini rivojlantirishdagi o‘rni ko‘rsatib berilgan.

This article presents a scientific and methodological analysis of five different methods for solving linear differential equations. It also examines the capabilities of modern mathematical software packages—such as MATLAB, Maple, Mathematica, and Python (SymPy)—and discusses their effective use in mathematics education. The advantages and application areas of each method are outlined, along with their role in developing students' logical and mathematical thinking.