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Консультация № 186955
17.12.2012, 01:39
154.37 руб.
0
4
2
Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Очень нужна помощь в решении задач по операционному исчислению
https://rfpro.ru/upload/8948
Очень нужна помощь в решении задач по операционному исчислению
https://rfpro.ru/upload/8948
Обсуждение
17.12.2012, 07:23
общий
это ответ
Здравствуйте, Сидорова Елена Борисовна!
494. По таблице для преобразования Лапласа:
В данном случае
или после подстановки и упрощения:
откуда
откуда
и
Снова воспользуемся таблицей для преобразования Лапласа:
В данном случае имеем
и оригиналом - решением уравнения будет
510. По таблице для преобразования Лапласа:
В данном случае
или после подстановки и упрощения:
Из второго уравнения
Подставляя в первое уравнение, получаем
откуда
Разложим дроби на сумму простых дробей. Для X(p) имеем
откуда
и
Для Y(p) имеем
откуда
и
Снова воспользуемся таблицей для преобразования Лапласа:
В данном случае имеем
и оригиналами - решением системы будут
494. По таблице для преобразования Лапласа:
В данном случае
или после подстановки и упрощения:
откуда
откуда
и
Снова воспользуемся таблицей для преобразования Лапласа:
В данном случае имеем
и оригиналом - решением уравнения будет
510. По таблице для преобразования Лапласа:
В данном случае
или после подстановки и упрощения:
Из второго уравнения
Подставляя в первое уравнение, получаем
откуда
Разложим дроби на сумму простых дробей. Для X(p) имеем
откуда
и
Для Y(p) имеем
откуда
и
Снова воспользуемся таблицей для преобразования Лапласа:
В данном случае имеем
и оригиналами - решением системы будут
5
спасибо!!!
17.12.2012, 07:37
общий
Адресаты:
В первом задании необходимо найти изображение и оригинал путём вычисления интеграла, или достаточно воспользоваться таблицей для преобразования Лапласа?
17.12.2012, 08:04
общий
это ответ
Здравствуйте, Елена Борисовна!
484а. Воспользуемся тем, что
Так как 
то по свойству линейности преобразования Лапласа получим
484б. Разложим функцию
в сумму простейших дробей:
С уважением.
484а. Воспользуемся тем, что
Так как то по свойству линейности преобразования Лапласа получим484б. Разложим функцию
в сумму простейших дробей:С уважением.
5
спасибо огромное!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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