diff --git "a/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HSZXZRH7pd0_raw.json" "b/PL9fwy3NUQKwYaToDpbPxaOdkUX3PS_VKf/HSZXZRH7pd0_raw.json"
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+{"segments": [{"id": 1, "seek": 4759, "start": 19.29, "end": 47.59, "text": "بسم الله الرحمن الرحيم في نهاية المحاضرة الماضية ابتدأنا في section واحد خمسة وهو ال linear first order differential equation وعرفنا ان شكل ال first order linear differential equation على الشكل a node of x في ال y prime زائد a one of x في ال y بدل سوى ال f of x وبعد ذلك رحنا لمعامل y prime خلنا الواحد الصحيح واشترطنا", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 8978, 8717, 11296, 10632, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 48127, 2655, 3215, 10721, 8315, 8978, 3541, 36764, 24401, 16490, 2304, 3794, 3660, 37037, 2407, 2423, 8213, 700, 1668, 15756, 5367, 4032, 3615, 28480, 8315, 16472, 13412, 28820, 2423, 700, 1668, 8213, 15756, 5367, 15844, 25124, 28820, 257, 9984, 295, 2031, 8978, 2423, 288, 5835, 30767, 16373, 3215, 257, 472, 295, 2031, 8978, 2423, 288, 47525, 1211, 8608, 2407, 7578, 2423, 283, 295, 2031, 46599, 22488, 29910, 23275, 12602, 5016, 8315, 32767, 3615, 10943, 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ثلاثة أمثلة أو على ال first order linear differential equation ثلاثة أمثلة مثلين المرة الماضية وهذا هو المثال الثالث مش دائما المعادلة بمجرد ما أطلع لها تكون linear أحيان بدي أضطر أحولها إلى linear first order differential equation", "tokens": [1829, 3555, 4587, 7578, 44945, 16606, 47356, 5551, 9778, 3215, 8315, 15844, 29538, 9673, 3615, 18513, 37977, 38637, 1211, 5718, 104, 3660, 5551, 2304, 12984, 37977, 34051, 15844, 2423, 700, 1668, 8213, 15756, 5367, 38637, 1211, 5718, 104, 3660, 5551, 2304, 12984, 37977, 50113, 1211, 9957, 9673, 25720, 9673, 46958, 10632, 37037, 15730, 31439, 9673, 12984, 6027, 6024, 104, 6027, 12984, 37893, 11778, 16373, 15042, 9673, 3615, 18513, 37977, 4724, 2304, 7435, 2288, 3215, 19446, 5551, 9566, 1211, 3615, 5296, 11296, 6055, 30544, 8213, 5551, 5016, 1829, 7649, 4724, 16254, 5551, 11242, 9566, 2288, 5551, 5016, 12610, 11296, 30731, 8213, 700, 1668, 15756, 5367], "avg_logprob": -0.15461310205005463, "compression_ratio": 1.8823529411764706, "no_speech_prob": 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"word": " بدي", "probability": 0.702880859375}, {"start": 354.95, "end": 355.67, "word": " أضطر", "probability": 0.9876708984375}, {"start": 355.67, "end": 356.69, "word": " أحولها", "probability": 0.9515380859375}, {"start": 356.69, "end": 357.33, "word": " إلى", "probability": 0.8623046875}, {"start": 357.33, "end": 357.83, "word": " linear", "probability": 0.85888671875}, {"start": 357.83, "end": 358.39, "word": " first", "probability": 0.89453125}, {"start": 358.39, "end": 358.95, "word": " order", "probability": 0.93505859375}, {"start": 358.95, "end": 359.61, "word": " differential", "probability": 0.9072265625}, {"start": 359.61, "end": 360.99, "word": " equation", "probability": 0.9775390625}], "temperature": 1.0}, {"id": 14, "seek": 38285, "start": 361.63, "end": 382.85, "text": "يعني المعادلة بمجرد النظر لا تكون Linear لكن بقدر أحولها إلى Linear زي ما في ال Homogeneous حولناها إلى Homogeneous وال Exact كانت ماهياش Exact حولناها إلى Exact وال Superb كان ماهياش Superb وحولناها إلى Superb لا Superb يعني ماحدش أحسن من حد طيب بدنا نيجي نشوف", "tokens": [40228, 22653, 9673, 3615, 18513, 37977, 4724, 2304, 7435, 2288, 3215, 28239, 19913, 2288, 20193, 6055, 30544, 14670, 289, 44381, 4724, 28543, 2288, 5551, 5016, 12610, 11296, 30731, 14670, 289, 30767, 1829, 19446, 8978, 2423, 20903, 31112, 11331, 12610, 8315, 11296, 30731, 20903, 31112, 16070, 7199, 25961, 2655, 19446, 3224, 1829, 33599, 7199, 11331, 12610, 8315, 11296, 30731, 7199, 16070, 4548, 65, 25961, 19446, 3224, 1829, 33599, 4548, 65, 4032, 5016, 12610, 8315, 11296, 30731, 4548, 65, 20193, 4548, 65, 37495, 22653, 19446, 24401, 8592, 5551, 5016, 3794, 1863, 9154, 11331, 3215, 23032, 1829, 3555, 47525, 8315, 8717, 1829, 7435, 1829, 8717, 8592, 38688], "avg_logprob": -0.24419642289479573, "compression_ratio": 1.8744186046511628, "no_speech_prob": 0.0, "words": [{"start": 361.63, "end": 362.11, "word": "يعني", "probability": 0.4972991943359375}, {"start": 362.11, "end": 362.91, "word": " المعادلة", 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بقول Definition differential equation", "tokens": [6027, 1863, 45367, 9154, 9673, 3615, 18513, 1211, 9307, 32239, 14851, 14670, 289, 44381, 7251, 43020, 6055, 5016, 2407, 26895, 11296, 30731, 14670, 289, 37037, 15730, 19446, 7251, 38251, 7578, 20449, 18513, 37977, 10781, 263, 16320, 7251, 3555, 4587, 7578, 10781, 263, 16320, 5367, 47525, 8315, 8717, 3615, 9566, 1829, 11296, 46245, 849, 46599, 22488, 11296, 8717, 5016, 1211, 20449, 18513, 37977, 10781, 263, 16320, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 46245, 849, 15756, 5367], "avg_logprob": -0.2636471375634399, "compression_ratio": 1.6758241758241759, "no_speech_prob": 0.0, "words": [{"start": 382.99, "end": 383.67, "word": "النوع", "probability": 0.6913248697916666}, {"start": 383.67, "end": 384.05, "word": " من", "probability": 0.912109375}, {"start": 384.05, "end": 385.21, "word": " المعادلات", "probability": 0.9251953125}, {"start": 385.21, "end": 386.67, "word": " ليست", "probability": 0.828857421875}, {"start": 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"text": "الـ N لا تساوي واحد is called بنروح نسميها Bernoulli equation Bernoulli Bernoulli equation يبقى معادلة Bernoulli", "tokens": [6027, 39184, 426, 20193, 6055, 3794, 995, 45865, 36764, 24401, 307, 1219, 44945, 32887, 5016, 8717, 38251, 1829, 11296, 10781, 263, 16320, 5367, 10781, 263, 16320, 10781, 263, 16320, 5367, 7251, 3555, 4587, 7578, 20449, 18513, 37977, 10781, 263, 16320], "avg_logprob": -0.17721036585365854, "compression_ratio": 1.2672413793103448, "no_speech_prob": 0.0, "words": [{"start": 436.74, "end": 437.3, "word": "الـ", "probability": 0.57177734375}, {"start": 437.3, "end": 437.74, "word": " N", "probability": 0.638671875}, {"start": 437.74, "end": 438.78, "word": " لا", "probability": 0.50634765625}, {"start": 438.78, "end": 439.84, "word": " تساوي", "probability": 0.9560546875}, {"start": 439.84, "end": 440.6, "word": " واحد", "probability": 0.972900390625}, {"start": 440.6, "end": 441.48, "word": " is", "probability": 0.1690673828125}, {"start": 441.48, "end": 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"طيب الآن ظهرت عندنا معادلة جديدة هذه المعادلة ليست linear first order differential equation السبب في ذلك أنها ماهياش linear لو طلعت للطرف الشمال اللى عندنا يبقى هو ال linear first order differential equation اللى احنا عارفينه", "tokens": [9566, 1829, 3555, 6024, 48506, 1357, 116, 3224, 43500, 43242, 8315, 20449, 18513, 37977, 10874, 16254, 41891, 29538, 9673, 3615, 18513, 37977, 32239, 14851, 8213, 700, 1668, 15756, 5367, 21136, 3555, 3555, 8978, 29910, 23275, 14739, 11296, 19446, 3224, 1829, 33599, 8213, 45164, 23032, 1211, 34268, 24976, 9566, 28480, 25124, 2304, 6027, 13672, 7578, 43242, 8315, 7251, 3555, 4587, 7578, 31439, 2423, 8213, 700, 1668, 15756, 5367, 13672, 7578, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 3224], "avg_logprob": -0.1648637803319173, "compression_ratio": 1.731958762886598, "no_speech_prob": 0.0, "words": [{"start": 469.17, "end": 470.25, "word": "طيب", "probability": 0.6852620442708334}, {"start": 470.25, "end": 470.73, "word": " الآن", "probability": 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"text": "الـ Q of X هي يبقى الجديد من Y to the power N يبقى بسبب وجود الـ Y to the power N بطلت تصير هذه first order differential equation طيب حطلي شرط هنا قال الـ N ممنوع تساوي Zero وكذلك الـ N ممنوع تساوي واحد السؤال هو ليش الـ N ممنوع تساوي Zero يعني لو تساوي Zero إيش بيصير؟", "tokens": [6027, 39184, 1249, 295, 1783, 39896, 7251, 3555, 4587, 7578, 25724, 16254, 3215, 9154, 398, 281, 264, 1347, 426, 7251, 3555, 4587, 7578, 4724, 35457, 3555, 49610, 23328, 2423, 39184, 398, 281, 264, 1347, 426, 4724, 9566, 1211, 2655, 6055, 9381, 13546, 29538, 700, 1668, 15756, 5367, 23032, 1829, 3555, 11331, 9566, 20292, 13412, 2288, 9566, 34105, 50239, 2423, 39184, 426, 3714, 27842, 45367, 6055, 3794, 995, 45865, 17182, 4032, 4117, 8848, 23275, 2423, 39184, 426, 3714, 27842, 45367, 6055, 3794, 995, 45865, 36764, 24401, 21136, 33604, 6027, 31439, 32239, 8592, 2423, 39184, 426, 3714, 27842, 45367, 6055, 3794, 995, 45865, 17182, 37495, 22653, 45164, 6055, 3794, 995, 45865, 17182, 11933, 1829, 8592, 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إلى linear كيف بدي أحولها إلى linear هذا ما سنشير إليه يبقى باجي بقوله هنا to solve Bernoulli equation Bernoulli equation multiply", "tokens": [3555, 1863, 39648, 4117, 44945, 28543, 2288, 8717, 5016, 1211, 11296, 9122, 6027, 2655, 6027, 1829, 4724, 16254, 5551, 5016, 12610, 11296, 30731, 8213, 9122, 33911, 4724, 16254, 5551, 5016, 12610, 11296, 30731, 8213, 23758, 19446, 8608, 1863, 8592, 13546, 11933, 20292, 3224, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 34105, 281, 5039, 10781, 263, 16320, 5367, 10781, 263, 16320, 5367, 12972], "avg_logprob": -0.23283616724339398, "compression_ratio": 1.5796178343949046, "no_speech_prob": 0.0, "words": [{"start": 555.52, "end": 556.24, "word": "بنقولك", "probability": 0.61181640625}, {"start": 556.24, "end": 556.86, "word": " بنقدر", "probability": 0.6344807942708334}, {"start": 556.86, "end": 557.84, "word": " نحلها", "probability": 0.9140625}, {"start": 557.84, "end": 559.04, "word": " كالتالي", "probability": 0.851953125}, 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من شكل المعادلة السؤال هو المعادلة دي شو أصبح شكلها linear مظبوط هي y prime function في x في ال y ال y أجابتها ل u يسوى ل q of x فقط لغير يبقى هذه linear first order differential", "tokens": [15040, 7251, 17082, 13546, 9154, 13412, 28820, 9673, 3615, 18513, 37977, 21136, 33604, 6027, 31439, 9673, 3615, 18513, 37977, 11778, 1829, 13412, 2407, 5551, 9381, 49628, 13412, 28820, 11296, 8213, 3714, 19913, 3555, 2407, 9566, 39896, 288, 5835, 2445, 8978, 2031, 8978, 2423, 288, 2423, 288, 5551, 7435, 16758, 2655, 11296, 5296, 344, 7251, 3794, 2407, 7578, 5296, 9505, 295, 2031, 6156, 47432, 5296, 17082, 13546, 7251, 3555, 4587, 7578, 29538, 8213, 700, 1668, 15756], "avg_logprob": -0.2851562574505806, "compression_ratio": 1.4759358288770053, "no_speech_prob": 0.0, "words": [{"start": 760.64, "end": 761.16, "word": "لا", "probability": 0.30908203125}, {"start": 761.16, "end": 761.94, "word": " يغير", "probability": 0.9368489583333334}, {"start": 761.94, "end": 762.22, "word": " من", "probability": 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18513, 37977, 16712, 5172, 46958, 1211, 10632, 398, 6, 12, 17, 50, 259, 1783, 28242, 23758, 8978, 398, 8608, 1829, 30544, 8717, 995, 4587, 9381, 568, 50, 259, 1783], "avg_logprob": -0.39294762224764435, "compression_ratio": 1.0336134453781514, "no_speech_prob": 0.0, "words": [{"start": 831.1, "end": 832.5, "word": "Solve", "probability": 0.57489013671875}, {"start": 832.5, "end": 833.9, "word": " the", "probability": 0.52099609375}, {"start": 833.9, "end": 835.7, "word": " differential", "probability": 0.8046875}, {"start": 835.7, "end": 837.46, "word": " equation", "probability": 0.95751953125}, {"start": 837.46, "end": 838.76, "word": " المعادلة", "probability": 0.828125}, {"start": 838.76, "end": 839.88, "word": " التفاضلية", "probability": 0.94814453125}, {"start": 839.88, "end": 840.96, "word": " Y'", "probability": 0.25}, {"start": 841.8, "end": 845.14, "word": "-2Sin", "probability": 0.569580078125}, {"start": 845.14, "end": 845.96, "word": " X", "probability": 0.77783203125}, 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