Fourth-order Runge-Kutta Method using Mathematica



















1 1.
1.1 1.32532
1.2 1.70253
1.3 2.13338
1.4 2.61947
1.5 3.16227

Conclusion:   The solution derived using the Runge-Kutta method O("RK_5_EN_18.gif") is in the form of a table of the variable function y(x), shown in the second column of the table above.  Since the  local apriori error of the method is O("RK_5_EN_19.gif") (or global error is  O("RK_5_EN_20.gif") ) and here h=0.1, then these solutions must be rounded to five symbols after the decimal point.

Graphic of the solution   



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