Another scheme of solution is to discretize the differential equation, approximating
*dZ*/*dt* = *MZ* by

= | (246) | ||

= | (247) | ||

= | (248) | ||

= | (249) | ||

= | (250) | ||

= | (251) |

These sums can be recognized as approximations to the integrals in Picard's method. However, this approximation is most useful in the product form, where the matrizant is sometimes called a

= | I |
(252) | |

= | (253) | ||

= | (254) |

Two further rules, which follow from the definitions, are

= | (255) | ||

= | (256) |