1. Write a short paragraph comparing and contrasting the method of undetermined coefficients and variation of parameters. How are they similar, how they are different? If you had your choice, which method would you use?
2. Consider the differential equation:
Why would the method of undetermined coefficients be difficult to use for this problem?
Here is the short description of the two methods.
Note that in the second problem ...
The solution discusses the advantages and disadvantages of each method.