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Консультация № 186059
16.05.2012, 22:33
78.80 руб.
17.05.2012, 01:36
0
2
2
Здравствуйте! У меня возникли сложности с таким вопросом:
Обсуждение
16.05.2012, 22:51
общий
это ответ
Здравствуйте, Максим!
Используем замену: y'=p, y''=p'
p'xlnx-p=0
dp/p=dx/(xlnx)
dp/p=dlnx/lnx
lnp=lnlnx+lnC1
p=C1*lnx
y'=C1*lnx
dy=C1*lnxdx
y=C1*(xlnx-x)+C2
Используем замену: y'=p, y''=p'
p'xlnx-p=0
dp/p=dx/(xlnx)
dp/p=dlnx/lnx
lnp=lnlnx+lnC1
p=C1*lnx
y'=C1*lnx
dy=C1*lnxdx
y=C1*(xlnx-x)+C2
Форма ответа
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