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lilavasa
[31]
3 years ago
8
Did I get this right?
Mathematics
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1
answer:
zepelin
[54]
3 years ago
5
0
The number behind the Decimal 75 I think is correct
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3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is
which has roots at
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The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form
where
and
is the Wronskian of the fundamental solutions. We have
and so
Therefore the particular solution is
so that the general solution to the ODE is
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