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.
Ozgaruvchilar Ajraladigan 867F77
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