Euler's Method for ordinary differential equations using Mathematica

Аnotation

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() and here h=0.1, then these solutions must be taken rounded to only two symbols past the decimal point.

Graphic of the solution

Created by Wolfram Mathematica 6.0 (22 September 2008) |