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- 1.
- Find all solutions to the homogeneous equation

- 2.
- The homogeneous equation

has, as one solution, the function y = x. Use reduction of order to find a second, linearly independent, solution.

- 3.
- Use the method of undetermined coefficients to find a particular solution to the differential equation

- 4.
- The homogeneous differential equation

has solutions y_{1} = x^{-1} and y_{2} = x^{-2}. Use variation of parameters to find a particular solution to the inhomogeneous equation

**Missing:** solutions to higher order, constant coefficients, equation

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