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Консультация № 191130
11.06.2017, 14:39
0.00 руб.
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2
1
Здравствуйте! Помогите пожалуйста решить задачу:
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Резльтат записать с точностью до 0,0001.
x-x^2*y+2*y^3=0,9
x^2+x*y-5=0
В качестве начального приближения рекомендуется принять следующие значения:
х0=3; у0=1.
Заранее спасибо!
Решить систему нелинейных уравнений с помощью метода Ньютона, выполнив три итерации. Резльтат записать с точностью до 0,0001.
x-x^2*y+2*y^3=0,9
x^2+x*y-5=0
В качестве начального приближения рекомендуется принять следующие значения:
х0=3; у0=1.
Заранее спасибо!
Обсуждение
14.06.2017, 16:18
общий
это ответ
Здравствуйте, Лейси!
Пусть
Тогда
Решив систему уравнений
получим
В качестве первого приближения примем
Тогда
Решив систему уравнений
получим
В качестве второго приближения примем
Тогда
Решив систему уравнений
получим
В качестве третьего приближения примем
Запишем результат с точностью до
Пусть
Тогда
Решив систему уравнений
получим
В качестве первого приближения примемТогда
Решив систему уравнений
получим
В качестве второго приближения примемТогда
Решив систему уравнений
получим
В качестве третьего приближения примемЗапишем результат с точностью до
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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