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Консультация № 187966
19.01.2015, 14:08
100.01 руб.
20.01.2015, 00:42
0
1
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Обсуждение
21.01.2015, 20:24
общий
это ответ
Здравствуйте, Рамиль Рашидович!
Задание 12.1. Имеем y'=(x[$183$]exp(-x2/2))'=x'[$183$]exp(-x2/2)+x[$183$](exp(-x2/2))'=exp(-x2/2)+x[$183$]exp(-x2/2)[$183$](-x2/2)'=
=exp(-x2/2)-x2[$183$]exp(-x2/2)=exp(-x2/2)[$183$](1-x2),
xy'=x[$183$]exp(-x2/2)[$183$](1-x2)=y[$183$](1-x2)=(1-x2)[$183$]y, что соответствует уравнению (1).
Задание 12.2. Имеем y'=((sin x)/x)'=(x[$183$](sin x)'-x'[$183$]sin x)/x2=(x[$183$]cos x-sin x)/x2=(cos x)/x-(sin x)/x2, xy'+y=cos x-(sin x)/x+(sin x)/x=cos x, что соответствует уравнению (1).
С уважением.
Задание 12.1. Имеем y'=(x[$183$]exp(-x2/2))'=x'[$183$]exp(-x2/2)+x[$183$](exp(-x2/2))'=exp(-x2/2)+x[$183$]exp(-x2/2)[$183$](-x2/2)'=
=exp(-x2/2)-x2[$183$]exp(-x2/2)=exp(-x2/2)[$183$](1-x2),
xy'=x[$183$]exp(-x2/2)[$183$](1-x2)=y[$183$](1-x2)=(1-x2)[$183$]y, что соответствует уравнению (1).
Задание 12.2. Имеем y'=((sin x)/x)'=(x[$183$](sin x)'-x'[$183$]sin x)/x2=(x[$183$]cos x-sin x)/x2=(cos x)/x-(sin x)/x2, xy'+y=cos x-(sin x)/x+(sin x)/x=cos x, что соответствует уравнению (1).
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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