Decide whether or not the method of undetermined coefficients can be applied to find a particular solution of the given equation.
No, the method of undetermined coefficients can’t be applied.
Here, the given differential equation is non-homogeneous.
According to the method of undetermined coefficients, the method of undetermined coefficients applies only to non-homogeneities that are polynomials, exponentials, sines, or cosines, or products of these functions.
The given differential equation is in the form of;
Compare with the given differential equation,
We know that, is not a linear combination of the term of the form of polynomials, exponentials, sine or cosine, or product of these t functions.
Therefore, the method of undetermined coefficients cannot be applied.
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