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Консультация № 198411
27.04.2020, 21:09
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Здравствуйте, уважаемые эксперты! Всё очень грустно у меня с решением вот такого задания 
Найти общее решение соответствующего линейного однородного дифференциального уравнения и указать вид частного решения с неопределенными коэффициентами:
y^V - 9y^III = x^2 + 2 · x + (x+1) cos3 x
Буду благодарна за любую помощь!
Найти общее решение соответствующего линейного однородного дифференциального уравнения и указать вид частного решения с неопределенными коэффициентами:
y^V - 9y^III = x^2 + 2 · x + (x+1) cos3 x
Буду благодарна за любую помощь!
Обсуждение
29.04.2020, 15:31
общий
29.04.2020, 15:42
Владимир Николаевич, стыдно признаться, но я с ним не могу совладать... может быть я что-то не так делаю. Позорище, одним словом!
29.04.2020, 17:23
общий
Адресаты:
Вы не можете ввести формулу или понять Вольфрам-ответ?
На странице Ссылка решатель показывает результ и классификацию : ODE classification: higher-order linear ordinary differential equation - линейное обычное диф-уравнение высокого порядка.
На странице Ссылка решатель показывает результ и классификацию : ODE classification: higher-order linear ordinary differential equation - линейное обычное диф-уравнение высокого порядка.
30.04.2020, 14:42
общий
Адресаты:
А что конкретно не понятно Вам? Вы описываете как-то расплывчато и избыточно-эмоционально : "не могу совладать", "это мой случай".
Вольфрам дал Вам ответ текущей задачи - Цель есть куда стремиться!
Коцюрбенко Алексей Владимирович показал Вам метод в Вашей Консультации rfpro.ru/question/198252 : "В общем случае дифур вида y(n) = f(x) , содержащй т-ко производную n-го порядка функции y, решается последовательным интегрированием правой части ровно n раз".
Вы поблагодарили Алексея : "Большое спасибо за помощь и за разъяснения!" - значит, Вы поняли метод.
Осталось применить этот метод тут : последовательно интегрировать Ваш текущий дифур 3 раза до получения формулы типа
y'' - k·y = (интегралы от иксов),
а затем привычный метод с Разделяющимися переменными.
Сами справитесь?
Вольфрам дал Вам ответ текущей задачи - Цель есть куда стремиться!
Коцюрбенко Алексей Владимирович показал Вам метод в Вашей Консультации rfpro.ru/question/198252 : "В общем случае дифур вида y(n) = f(x) , содержащй т-ко производную n-го порядка функции y, решается последовательным интегрированием правой части ровно n раз".
Вы поблагодарили Алексея : "Большое спасибо за помощь и за разъяснения!" - значит, Вы поняли метод.
Осталось применить этот метод тут : последовательно интегрировать Ваш текущий дифур 3 раза до получения формулы типа
y'' - k·y = (интегралы от иксов),
а затем привычный метод с Разделяющимися переменными.
Сами справитесь?
Форма ответа
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