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Консультация № 183947
02.09.2011, 13:49
52.13 руб.
02.09.2011, 15:08
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
02.09.2011, 14:51
общий
это ответ
Здравствуйте, Ольга Никанова!
Решение первого уравнения - в прикрепленном файле.
Решение первого уравнения - в прикрепленном файле.
Прикрепленные файлы:
02.09.2011, 15:54
общий
30.10.2021, 11:04
это ответ
Здравствуйте, Ольга Никанова!
Во втором уравнении разделим обе части на y[sup]2[/sup]. Тогда
- общий интеграл. Отсюда
Постоянную C определяем из начального условия y(4) = e[sup]2[/sup] или x(e[sup]2[/sup]) = 4:
откуда C = 0 и решением задачи будет
или
Область интегрирования ограничена прямой x = 0 и кривыми x = sin y и x = cos y, пересекающимися с прямой в точках (0, 0) и (0, [$960$]/2) соответственно, а между собой - в точке (1/[$8730$]2, [$960$]/4). Следовательно, при изменении порядка интегрирования имеем пределы от x = 0 до x = 1/[$8730$]2 и от y = arcsin x до y = arccos x, то есть
Во втором уравнении разделим обе части на y[sup]2[/sup]. Тогда
- общий интеграл. Отсюда
Постоянную C определяем из начального условия y(4) = e[sup]2[/sup] или x(e[sup]2[/sup]) = 4:
откуда C = 0 и решением задачи будет
или
Область интегрирования ограничена прямой x = 0 и кривыми x = sin y и x = cos y, пересекающимися с прямой в точках (0, 0) и (0, [$960$]/2) соответственно, а между собой - в точке (1/[$8730$]2, [$960$]/4). Следовательно, при изменении порядка интегрирования имеем пределы от x = 0 до x = 1/[$8730$]2 и от y = arcsin x до y = arccos x, то есть
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