Examples

 

There are also worked out solutions by Dr Grow here.

Here is a list of problems to look at for the final.

Sample Solutions from Boyce-DiPrima Note: The statements of most of the problems are not explicitly stated here,  but you should be able to figure out most of them.

  • Examples on linear models (3.1)
  • Examples on real roots case in (4.3) and linear independence/Wronskian (4.1)
  • More Examples on linear independence (4.1) and the complex roots case in (4.3)
  • Examples on the repeated roots case in (4.3) and Reduction of Order (4.2)
  • Examples on Method of Undetermined Coefficients (4.5), Variation of Parameters (4.6), and Spring-mass problems (5.1)
  • Examples on Cauchy-Euler Equations (4.7)
  • More Laplace Transforms (7.1-7.3)
  • Examples on the Dirac Delta Function (7.5)
  • Review of Matrices (Appendix II)

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    Exams