Euler's Method for ordinary differential equations using Mathematica  


















1. 1.
1.1 1.3 3.
1.2 1.64636 3.46364
1.3 2.04076 3.94394
1.4 2.48472 4.43963
1.5 2.97968 4.9496

Conclusion:   The solution derived by using the Euler's method is in the form of a table of the variable function y(x), displayed in the second column of the table above. Since the apriori error of the method is О("Euler1_EN_17.gif") and here h=0.1, then these solutions must be taken rounded to only two symbols past the decimal point.

Graphic of the solution





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