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Консультация № 185550
05.03.2012, 19:21
90.00 руб.
0
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Решить систему дифференциальных уравнений операционным способом:
x'-y'+2y-2x=1-2t
x''+2y'+x=0, x(0)=0, y(0)=0, x'(0)=0
Найти изображения оригиналов:
1. f(t)=sin3t+ch2t-5t
2. f(t)=2/3t2-2t+1/3
3. f(t)=e2tcos3tcos4t
4. f(t)=tsin2tcos6t
Решить систему дифференциальных уравнений операционным способом:
x'-y'+2y-2x=1-2t
x''+2y'+x=0, x(0)=0, y(0)=0, x'(0)=0
Найти изображения оригиналов:
1. f(t)=sin3t+ch2t-5t
2. f(t)=2/3t2-2t+1/3
3. f(t)=e2tcos3tcos4t
4. f(t)=tsin2tcos6t
Обсуждение
05.03.2012, 19:42
общий
это ответ
Здравствуйте, Дмитрий!
Решение системы
Переходим к изображениям:
Возвращаемся к оригиналам:
1
Решение системы
Переходим к изображениям:
Возвращаемся к оригиналам:
1
05.03.2012, 20:00
общий
это ответ
Здравствуйте, Дмитрий!
2) 1 <---> 1/p, t <---> 1/p2, t2 <---> 2/p3
Следовательно<
(2/3)t2-2t+(1/3) <---> (2/3)(2/p3)-2(1/p2)+(1/3)(1/p)=(4/3p3)-(2/p2)+(1/(3p))
2) 1 <---> 1/p, t <---> 1/p2, t2 <---> 2/p3
Следовательно<
(2/3)t2-2t+(1/3) <---> (2/3)(2/p3)-2(1/p2)+(1/3)(1/p)=(4/3p3)-(2/p2)+(1/(3p))
05.03.2012, 20:05
общий
это ответ
Здравствуйте, Дмитрий!
Если
то
Пусть
Имеем
значит, искомое изображение суть
Пусть
Имеем
следовательно, искомое изображение суть
С уважением.
Если
то
Пусть
Имеем
значит, искомое изображение суть
Пусть
Имеем
следовательно, искомое изображение суть
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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