Decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation.
Yes, the method of undetermined coefficients can be applied.
Simplify the above equation by using logarithms properties,
The given differential equation is in the form of;
According to the method of undetermined coefficients,
To find a particular solution to the differential equation;
Where m is a non-negative integer, use the form;
Compare with the given differential equation,
s = 1 if r is a simple root of the associated auxiliary equation.
Therefore, the particular solution of the equation,
So, the method of undetermined coefficients can be applied.
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