From the Euler method to the closed-form solution of the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force

The Euler method of numeric approximation for solving initial-value problems is applied for describing the motion of a particle influenced by linear velocity-dependent friction and arbitrary time-dependent driving force. By employing the formula for the sums of powers of integers, it is shown that t...

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Bibliographic Details
Main Author: Antonio S. de Castro
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física 2024-09-01
Series:Revista Brasileira de Ensino de Física
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172024000100102&lng=en&tlng=en