TRUE OR FALSE: 16 + 72n = (2 + 9n)(8)
2 answers:
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First you'll need the complementary solutions. The characteristic equation for this ODE is
with multiplicity 2. This means two linearly independent solutions will be
and 
.
Via variation of parameters, the particular solution will take the form
where
The Wronskian is
So, you have
and
So the solution to the ODE is
with multiplicity 2. This means two linearly independent solutions will be
Via variation of parameters, the particular solution will take the form
where
The Wronskian is
So, you have
and
So the solution to the ODE is