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Консультация № 189848
04.10.2016, 00:39
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Здравствуйте! Прошу помощи в следующем вопросе
Найти оригинал функции по заданному изображению
3p+1/p^2(p^2+1)
Найти оригинал функции по заданному изображению
3p+1/p^2(p^2+1)
Обсуждение
?
04.10.2016, 08:00
общий
это ответ
Здравствуйте, urazali777!
Разложим изображение на сумму простых дробей:
Приравнивая числители первой и последней дроби, получаем:
откуда
Следовательно,
Теперь воспользуемся таблицей для преобразования Лапласа:
а так же тем, что постоянный множитель выносится за пределы изображения. В данном случае
то есть оригинал будет равен
Разложим изображение на сумму простых дробей:
Приравнивая числители первой и последней дроби, получаем:
откуда
Следовательно,
Теперь воспользуемся таблицей для преобразования Лапласа:
а так же тем, что постоянный множитель выносится за пределы изображения. В данном случае
то есть оригинал будет равен
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