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anonymous1813
10.03.2020 •
Mathematics
Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y = 0, t > 0; y1(t) = t−1
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Ответ:
I assume you mean
, and not
, since this doesn't satisfy the ODE.
Assume a second solution of the form
, where
is a function of
. Then
Substituting into the ODE gives
where we omit the second term because it's already accounted for by
.
Ответ: