Modified Euler's method for ordinary difference equation using Mathematica

Anotation

1. | 1. | |

1.1 | 1.315 | 3.49091 |

1.2 | 1.67833 | 3.99721 |

1.3 | 2.09158 | 4.51781 |

1.4 | 2.55623 | 5.05175 |

1.5 | 3.07366 | 5.59821 |

Conclusion: The solution derived using the modified Euler's 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() and here h=0.1, then these solutions must be rounded to only two signs after the decimal point.

Graphic of the solution

Created by Wolfram Mathematica 6.0 (22 September 2008) |