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Консультация № 186205
27.05.2012, 11:17
79.99 руб.
27.05.2012, 14:30
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
на фото: Задача N2; Вариант N14
фото:
на фото: Задача N2; Вариант N14
фото:
Обсуждение
Неизвестный
27.05.2012, 15:11
общий
задача 2: пользуясь теоремой свертывания, найти оригинал первой из заданных функций, для отыскания оригиналов в остальных использовать полученный результат, либо теорему дифференцирования, либо теорему интегрирования оригинала. Ответ к последнему из заданных примеров проверить, либо находя по полученному оригиналу его изображение, либо находя сам оригинал иным способом - по 2й или по обобщенной(третьей) теоремам разложения.
Вариант 14: p/((p^2)-1)^2 ; 1/((p^2)-1)^2 ; 1/(p ((p^2)-1)^2) ; 1/((p^2) ((p^2)-1)^2)
Вариант 14: p/((p^2)-1)^2 ; 1/((p^2)-1)^2 ; 1/(p ((p^2)-1)^2) ; 1/((p^2) ((p^2)-1)^2)
28.05.2012, 16:39
общий
это ответ
Здравствуйте, Artek9300!
Для первой функции имеем
и по теореме о свёртывании
Для второй функции имеем
и по теореме об интегрировании оригинала
Для третьей функции имеем
и по теореме об интегрировании оригинала
Для четвёртой функции имеем
и по теореме об интегрировании оригинала
Найдём изображение полученного оригинала. Заметим сначала, что по теореме о дифференцировании изображения
Поэтому
как и должно быть.
С уважением.
Для первой функции имеем
и по теореме о свёртывании
Для второй функции имеем
и по теореме об интегрировании оригинала
Для третьей функции имеем
и по теореме об интегрировании оригинала
Для четвёртой функции имеем
и по теореме об интегрировании оригинала
Найдём изображение полученного оригинала. Заметим сначала, что по теореме о дифференцировании изображения
как и должно быть.
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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