Q. What do I do to solve L3.1? A. Use a pencil and paper. Apply the linear integrating factor method from section 1.5 of the textbook, which applies to linear equations dy/dx+p(x)y = q(x). The equation y' = -2xy can be put into this form with p(x)=2x and q(x)=0. Include an answer check. There is no numerical work in this problem, only symbolic solution. A similar report for a different problem appears as http://www.math.utah.edu/~gustafso/f2007/symbolicSol2.4-3.pdf ======================================================================== Q. How do I solve L3.2? A. Start with an example already solved, such as the examples in http://www.math.utah.edu/~gustafso/f2007/2250numerical-hints.txt Modify the example for the current problem y' = -2xy, y(0)=2. Make the data appendix as in the example http://www.math.utah.edu/~gustafso/f2007/2250SampleProblem2.4-3.pdf Note: This sample includes the symbolic solution report, similar to that done in L3.1. The solution to L3.2 should not a include a duplicate of L3.1. Note: You must include hand calculations for only line 2 of the dot table, as in the sample. ======================================================================== Q. How do I solve L3.3? A. Start with the L3.2 code and modify it to match the example in http://www.math.utah.edu/~gustafso/f2007/2250numerical-hints.txt The only thing that changes is the algorithm in group 2, from Euler to Heun. Note: You must include hand calculations for only line 2 of the dot table, as in the sample. ======================================================================== Q. How do I solve L3.4? A. Start with the L3.3 code and modify it to match the example in http://www.math.utah.edu/~gustafso/f2007/2250numerical-hints.txt The only thing that changes is the algorithm in group 2, from Heun to RK4. Note: Do not include hand calculations. But do compare answers, expecting increased accuracy from Heun to RK4 answers. ========================================================================