MATH 248 SPRING 2017 – LABORATORY ASSIGNMENT 6 – Sochacki DUE: Wednesday April 12, 2017 POINTS: 50 You are to write a Matlab script that will determine approximations to the first and second derivatives for the solution to the initial value ordinary differential equation (IVODE) problem ‘()*(); (0)xtaxtbxα=−= at a given t. You should ask the user for the numbers ,,,abtα and other parameters needed to approximate the first and second derivative. Guidelines: (1) First you should do a neat one-three page (8.5 x 11) write up showing properties of the solution to this system. You should sketch what solutions to this equation look like. These sketches should be accurate. Since you can solve this equation exactly, you should give the error bounds for your approximations to the derivatives. (2) Your program should print the approximations with labels indicating what the output represents. (3) You should make sure your code minimizes calculation and errors. (4) Since you know the exact answer, you should have your code output the absolute error for your approximations. (5) Give a plot of your numerical solution to this IVODE for the parameters I give you.

MATH 248 SPRING 2017 – LABORATORY ASSIGNMENT 6 – Sochacki DUE: Wednesday April 12, 2017 POINTS: 50 You are to write a Matlab script that will determine approximations to the first and second derivatives for the solution to the initial value ordinary differential equation (IVODE) problem ‘()*(); (0)xtaxtbxα=−= at a given t. You should ask the user for the numbers ,,,abtα and other parameters needed to approximate the first and second derivative. Guidelines: (1) First you should do a neat one-three page (8.5 x 11) write up showing properties of the solution to this system. You should sketch what solutions to this equation look like. These sketches should be accurate. Since you can solve this equation exactly, you should give the error bounds for your approximations to the derivatives. (2) Your program should print the approximations with labels indicating what the output represents. (3) You should make sure your code minimizes calculation and errors. (4) Since you know the exact answer, you should have your code output the absolute error for your approximations. (5) Give a plot of your numerical solution to this IVODE for the parameters I give you.

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