Euler's-Cauchy Method using Mathematica



















1 1.
1.1 1.32318
1.2 1.69795
1.3 2.12606
1.4 2.60911
1.5 3.1486

Conclusion:  The solution derived using the modified Euler's-Cauchy method is in the form of a table of the variable function y(x), as shown in the second column of the table above. Since the global apriori error of the method is О("Euler-Cauchy_EN_18.gif") and here h=0.1, then these solutions must be rounded to only two signs after the decimal point.

Graphic of the solution  





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