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Консультация № 181300
13.12.2010, 12:31
0.00 руб.
13.12.2010, 18:31
0
3
1
Здравствуйте, уважаемые эксперты! Прошу Вас ответить на следующий вопрос:
https://rfpro.ru/upload/4017
https://rfpro.ru/upload/4017
Обсуждение
13.12.2010, 13:33
общий
Здравствуйте, Александр Сергеевич!
По-видимому, документ, на который дана ссылка в тексте вопроса, сохранён для MS Word 2007. А эта версия есть не у всех экспертов...
С уважением.
По-видимому, документ, на который дана ссылка в тексте вопроса, сохранён для MS Word 2007. А эта версия есть не у всех экспертов...
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
13.12.2010, 18:13
общий
это ответ
Здравствуйте, Богданов Александр Сергеевич!
Решение 1:
Первые три члена имеют вид y(1)+y'(1)(x-1)+0,5y''(1)(x-1)2
y(1)=2 (дано по условию)
y'(1) находим из уравнения y'=y2+x+1 ---> y'(1)=4+1+1=6 (учтено, что y(1)=2)
y''(x) находим дифференцированием уравнения:
y''=(y2+x+1)'=2yy'+1 ---> y''(1)=2y(1)y'(1)+1=2*2*6+1=25
Таким образом, разложение имеет вид:
2+6(x-1)+(25/2)(x-1)2
Решение 1:
Первые три члена имеют вид y(1)+y'(1)(x-1)+0,5y''(1)(x-1)2
y(1)=2 (дано по условию)
y'(1) находим из уравнения y'=y2+x+1 ---> y'(1)=4+1+1=6 (учтено, что y(1)=2)
y''(x) находим дифференцированием уравнения:
y''=(y2+x+1)'=2yy'+1 ---> y''(1)=2y(1)y'(1)+1=2*2*6+1=25
Таким образом, разложение имеет вид:
2+6(x-1)+(25/2)(x-1)2
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