### Abstract

The present study was designed to investigate some solutions to a simple differential equation associated with growth mechanics and whether they were related under some concept. The results obtained were as follows. Some solutions to the simple differential equation for ruminant agriculture were: (1) a function for the growth of a forage plant or a ruminant animal, (2) a function for the light attenuation in forage plant canopy, (3) a function for the degradable residue of forage protein in the rumen, (4) a function suggesting field-forage-ruminant relationships through matter circulation, (5) a function for spirals topologically similar to micro- and macro-structures of forages or ruminants. Other solutions in the field of physics that might be related to ruminant agriculture through the energy issue were: (6) a function for the mass-energy relation applying to a forage plant or a ruminant animal, (7) a function for the wave including energy that was a solution to partial differential equations replacing but corresponding to the ordinary differential equation, (8) a function for the exponential expansion of the space with almost constant density of energy. It was suggested that some solutions to a simple differential equation associated with growth mechanics ranged from some aspects of ruminant agriculture to energy issues of physics, provided that they were described using exponential functions with base e.

Original language | English |
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Pages (from-to) | 361-365 |

Number of pages | 5 |

Journal | Journal of the Faculty of Agriculture, Kyushu University |

Volume | 52 |

Issue number | 2 |

Publication status | Published - Oct 1 2007 |

### All Science Journal Classification (ASJC) codes

- Biotechnology
- Agronomy and Crop Science

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## Cite this

*Journal of the Faculty of Agriculture, Kyushu University*,

*52*(2), 361-365.