For a second-order Ordinary Differential Equation,

(1) |

(2) | |||

(3) |

Now, impose the additional condition that

(4) |

(5) | |||

(6) |

Plug , , and back into the original equation to obtain

(7) |

(8) |

(9) | |||

(10) |

Generalizing to an th degree ODE, let , ..., be the solutions to the homogeneous ODE and let ,
..., be chosen such that

(11) |

(12) |

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1999-05-26