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Консультация № 195277
17.04.2019, 12:38
0.00 руб.
17.04.2019, 15:21
1
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Найти решение задачи Коши и построить соответствующую интегральную кривую
Найти решение задачи Коши и построить соответствующую интегральную кривую
Прикрепленные файлы:
Обсуждение
17.04.2019, 15:18
общий
Предлагаю перенести консультацию в раздел "Математика", сообщив об этом его экспертам.
Об авторе:
Facta loquuntur.
Facta loquuntur.
17.04.2019, 15:21
общий
Обратите внимание на эту консультацию, перенесенную из другого раздела
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
17.04.2019, 15:21
общий
Адресаты:
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
21.04.2019, 15:54
общий
это ответ
Здравствуйте, Iravuu!
Решаем уравнение y' = 2y - 2, y(1)= 2.
dy/dx = 2(y-1),
dy/(y-1) = d(y-1)/(y-1) = 2dx.
Интегрируем
ln|y-1| = 2x + C.
y-1 = exp(2x + C).
Из условия y(1) = 2:
1 = exp(2 + C), C= -2.
Ответ:
y = 1 + exp(2x - 2).
График попробуйте построить самостоятельно.
Решаем уравнение y' = 2y - 2, y(1)= 2.
dy/dx = 2(y-1),
dy/(y-1) = d(y-1)/(y-1) = 2dx.
Интегрируем
ln|y-1| = 2x + C.
y-1 = exp(2x + C).
Из условия y(1) = 2:
1 = exp(2 + C), C= -2.
Ответ:
y = 1 + exp(2x - 2).
График попробуйте построить самостоятельно.
5
Благодарю, очень помогли
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