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Консультация № 188184
10.11.2015, 21:04
0.00 руб.
0
3
1
Здравствуйте, уважаемые эксперты! Помогите, пожалуйста восстановить оригинал по изображению
F(p)= 1/(p+3)^2[$149$](p-1)^3
F(p)= 1/(p+3)^2[$149$](p-1)^3
Обсуждение
11.11.2015, 11:33
общий
Адресаты:
Нужно уточнить, в числителе или знаменателе находится множитель (p-1)^3. Что касается метода решения задачи, то, по-моему, заданное выражение нужно разложить на простейшие дроби и применить вторую теорему разложения.
Об авторе:
Facta loquuntur.
Facta loquuntur.
12.11.2015, 08:33
общий
это ответ
Здравствуйте, Кирилл!
Разложим изображение на сумму простых дробей:
Приравнивая числители первой и последней дроби, получаем:
что даёт нам систему
решением которой будет
.
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:
что даёт нам систему
решением которой будет
.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
5
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