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"text": "The Homogeneous Differential Equation is يُساوي ياساوي ياساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يساوي يس", "tokens": [2278, 20903, 31112, 413, 12612, 2549, 15624, 399, 307, 7251, 10859, 3794, 995, 45865, 7251, 32277, 995, 45865, 7251, 32277, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 45865, 7251, 3794, 995, 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2515.63, "end": 2516.63, "word": " التالتة،", "probability": 0.876171875}, {"start": 2516.63, "end": 2516.85, "word": " بدي", "probability": 0.75439453125}, {"start": 2516.85, "end": 2517.15, "word": " أرجع", "probability": 0.8878580729166666}, {"start": 2517.15, "end": 2517.61, "word": " عالميا", "probability": 0.708740234375}, {"start": 2517.61, "end": 2518.93, "word": " للكلام", "probability": 0.7982584635416666}, {"start": 2518.93, "end": 2519.61, "word": " الأول،", "probability": 0.8154296875}, {"start": 2519.61, "end": 2519.93, "word": " واضح", "probability": 0.9944661458333334}, {"start": 2519.93, "end": 2520.27, "word": " كلام", "probability": 0.931884765625}, {"start": 2520.27, "end": 2521.27, "word": " هيك؟", "probability": 0.5882161458333334}, {"start": 2521.27, "end": 2521.67, "word": " الأمن", "probability": 0.6380615234375}, {"start": 2521.67, "end": 2521.85, "word": " اللي", "probability": 0.6568603515625}, {"start": 2521.85, "end": 2522.19, "word": " حطوه", 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0.775390625}, {"start": 2535.41, "end": 2536.31, "word": " Y", "probability": 0.41796875}, {"start": 2536.31, "end": 2537.03, "word": " تساوي", "probability": 0.759521484375}, {"start": 2537.03, "end": 2537.39, "word": " E", "probability": 0.8994140625}, {"start": 2537.39, "end": 2537.73, "word": " أُس", "probability": 0.4812825520833333}, {"start": 2537.73, "end": 2538.27, "word": " RX", "probability": 0.66650390625}, {"start": 2538.27, "end": 2539.47, "word": " بيه", "probability": 0.5482584635416666}, {"start": 2539.47, "end": 2541.09, "word": " solution", "probability": 0.703125}], "temperature": 1.0}, {"id": 104, "seek": 255878, "start": 2547.76, "end": 2558.78, "text": "يبقى هنا the characteristic equation is R تكعيب زائد R يساوي 0", "tokens": [1829, 3555, 4587, 7578, 34105, 264, 16282, 5367, 307, 497, 6055, 4117, 3615, 1829, 3555, 30767, 16373, 3215, 497, 7251, 3794, 995, 45865, 1958], "avg_logprob": -0.4853125190734863, "compression_ratio": 0.9120879120879121, "no_speech_prob": 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"probability": 0.227783203125}], "temperature": 1.0}, {"id": 105, "seek": 258062, "start": 2559.06, "end": 2580.62, "text": "يبقى R في R تربيع زائد واحد بده يساوي Zero يبقى R تساوي Zero وR تساوي زائد او ناقص I يبقى بناء عليه بقوله ال complementary solution YC بده يساوي C واحد في ال E او Zero", "tokens": [1829, 3555, 4587, 7578, 497, 8978, 497, 6055, 2288, 21292, 3615, 30767, 16373, 3215, 36764, 24401, 47525, 3224, 7251, 3794, 995, 45865, 17182, 7251, 3555, 4587, 7578, 497, 6055, 3794, 995, 45865, 17182, 4032, 49, 6055, 3794, 995, 45865, 30767, 16373, 3215, 1975, 2407, 8717, 995, 4587, 9381, 286, 7251, 3555, 4587, 7578, 44945, 16606, 47356, 4724, 39648, 3224, 2423, 40705, 3827, 398, 34, 47525, 3224, 7251, 3794, 995, 45865, 383, 36764, 24401, 8978, 2423, 462, 1975, 2407, 17182], "avg_logprob": -0.21425781287252904, "compression_ratio": 1.5900621118012421, "no_speech_prob": 0.0, "words": [{"start": 2559.06, "end": 2560.0, "word": "يبقى", "probability": 0.8660888671875}, {"start": 2560.0, 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{"id": 106, "seek": 260096, "start": 2582.46, "end": 2600.96, "text": "زائد C2 Cos X زائد C3 Sin X لأنه زادة ونقص I ال A بالزيرو والB بالمين بواحد يبقى هذا الشكل المعادلة الأصلية بناتها دي سميها ال star", "tokens": [11622, 16373, 3215, 383, 17, 15855, 1783, 30767, 16373, 3215, 383, 18, 11187, 1783, 5296, 33456, 3224, 30767, 18513, 3660, 4032, 1863, 4587, 9381, 286, 2423, 316, 20666, 11622, 1829, 32887, 16070, 33, 20666, 2304, 9957, 4724, 14407, 24401, 7251, 3555, 4587, 7578, 23758, 25124, 28820, 9673, 3615, 18513, 37977, 16247, 9381, 1211, 10632, 4724, 8315, 2655, 11296, 11778, 1829, 8608, 2304, 1829, 11296, 2423, 3543], "avg_logprob": -0.36054103854876846, "compression_ratio": 1.411764705882353, "no_speech_prob": 0.0, "words": [{"start": 2582.46, "end": 2583.4, "word": "زائد", "probability": 0.667236328125}, {"start": 2583.4, "end": 2584.34, "word": " C2", "probability": 0.637939453125}, {"start": 2584.34, "end": 2584.94, "word": " Cos", "probability": 0.423095703125}, {"start": 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{"start": 2933.86, "end": 2934.24, "word": " X", "probability": 0.97998046875}, {"start": 2934.24, "end": 2934.74, "word": " في", "probability": 0.732421875}, {"start": 2934.74, "end": 2935.22, "word": " F", "probability": 0.63134765625}, {"start": 2935.22, "end": 2935.64, "word": " of", "probability": 0.89453125}, {"start": 2935.64, "end": 2936.08, "word": " X", "probability": 0.99365234375}, {"start": 2936.08, "end": 2936.58, "word": " على", "probability": 0.7158203125}, {"start": 2936.58, "end": 2937.3, "word": " رونسكين", "probability": 0.90927734375}, {"start": 2937.3, "end": 2937.6, "word": " of", "probability": 0.464599609375}, {"start": 2937.6, "end": 2937.94, "word": " X", "probability": 0.9248046875}, {"start": 2937.94, "end": 2938.5, "word": " DX", "probability": 0.92431640625}, {"start": 2938.5, "end": 2938.84, "word": " Y", "probability": 0.1868896484375}, {"start": 2938.84, "end": 2939.46, "word": " يساوي", "probability": 0.886962890625}, {"start": 2939.46, "end": 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2961.59, "word": " ل", "probability": 0.66455078125}, {"start": 2961.59, "end": 2962.07, "word": " cos", "probability": 0.422119140625}, {"start": 2962.07, "end": 2962.91, "word": " X", "probability": 0.9912109375}, {"start": 2962.91, "end": 2963.77, "word": " يبقى", "probability": 0.9852294921875}, {"start": 2963.77, "end": 2964.17, "word": " جبت", "probability": 0.92138671875}, {"start": 2964.17, "end": 2965.01, "word": " السيهاتي", "probability": 0.7544921875}, {"start": 2965.01, "end": 2965.93, "word": " تلاتة", "probability": 0.8111572265625}, {"start": 2965.93, "end": 2966.77, "word": " يبقى", "probability": 0.9736328125}, {"start": 2966.77, "end": 2967.43, "word": " سار", "probability": 0.6981201171875}, {"start": 2967.43, "end": 2968.57, "word": " YP", "probability": 0.745849609375}, {"start": 2968.57, "end": 2969.25, "word": " يساوي", "probability": 0.9559326171875}, {"start": 2969.25, "end": 2969.65, "word": " وين", "probability": 0.796875}, {"start": 2969.65, "end": 2970.13, 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