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4. (It is required to use a program to finish this question. Only programs written in MATLAB is acceptable. Hand in your code via

 

4. (It is required to use a program to finish this question. Only programs written in MATLAB is acceptable. Hand in your code via through Ilearn (please put all of them in one ZIP file, in case you have more than one file). Print your tabulated results/graphs if the question asks you to. Please also print the code out and hand in the hard copy of the code.) Consider the following initial value problem: [r'(t)=re* on [0,1] x(0) = e (a) With a mesh size of 0.01, approximate the solution x(t) by the modified Euler Method. (b) With a mesh size of 0.01, approximate the solution x(t) by the 2-step Adams- Bashforth method as prediction, 2-step Adams-Moulton method as correction, with initial values (0) = e and (0.01) = e. You only need to hand in the graph.

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