Dickson Blake
01/16/2024 · High School
Use the method discussed under "Equations with Linear Coefficients" \( (2 x-y) d x+(4 x+y-3) d y=0 \)
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لحل المعادلة التفاضلية باستخدام طريقة "المعادلات ذات المعاملات الخطية"، نقوم بإعادة ترتيب المعادلة، نحدد \( P(x, y) \) و \( Q(x, y) \)، نحسب المشتقات الجزئية، ونعمل على إيجاد عامل التكامل \( \mu(x, y) \) بحيث \( \frac{\partial}{\partial y}(\mu P) = \frac{\partial}{\partial x}(\mu Q) \). بعد ذلك، نكامل للحصول على الحل العام.
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