Subjects differensial tenglamalar

Ozgaruvchilar Ajraladigan 867F77

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1. Muammo: O'zgaruvchilari ajraladigan differensial tenglamani yeching. 2. O'zgaruvchilari ajraladigan differensial tenglama shakli: $$\frac{dy}{dx} = g(x)h(y)$$. 3. Ushbu tenglamani yechish uchun, $y$ va $x$ o'zgaruvchilarini ajratamiz: $$\frac{1}{h(y)} dy = g(x) dx$$. 4. Har ikki tomon bo'yicha integral olamiz: $$\int \frac{1}{h(y)} dy = \int g(x) dx + C$$. 5. Integralni hisoblab, $y$ ni $x$ orqali ifodalash mumkin. Bu umumiy yechim usuli bo'lib, aniq tenglama berilsa, integralni hisoblash davom ettiriladi.