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Консультация № 201127
09.06.2021, 08:10
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
решить дифференциальные уравнения:
решить дифференциальные уравнения:
Прикрепленные файлы:
Обсуждение
10.06.2021, 10:11
общий
это ответ
Здравствуйте, ushatalal!
Рассмотрим уравнение 15. Решим сначала соответствующее однородное уравнение
Его характеристическое уравнение -- 
дискриминант характеристического уравнения -- 
корни характеристического уравнения -- 
Тогда общее решение однородного уравнения суть функция
Правая часть заданного уравнения имеет вид
где 
В этом случае частное решение заданного уравнения имеет вид
При этом
что после подстановки в заданное уравнение даёт
Значит, общим решение заданного уравнения является функция
Рассмотрим уравнение 15. Решим сначала соответствующее однородное уравнение
Его характеристическое уравнение -- дискриминант характеристического уравнения -- корни характеристического уравнения -- Тогда общее решение однородного уравнения суть функцияПравая часть заданного уравнения имеет вид
где В этом случае частное решение заданного уравнения имеет видПри этом
что после подстановки в заданное уравнение даёт
Значит, общим решение заданного уравнения является функция
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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