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Chapter 10: Ordinary Differential Equations
https://doi.org/10.1142/9789813275386_0010Cited by:0 (Source: Crossref)
Abstract:
Consider the system of first order differential equations
dujdt = fj(u1, …, un, t), j = 1, …, ndujdt=fj(u1,…,un,t),j=1,…,n
where it is assumed that the functions fj are differentiable. If the functions fj do not depend explicitly on t, then the system is called autonomous. Second order and higher order differential equations can be cast into a system of first order differential equations. In most cases we consider an initial value problem, i.e. given uj(t = 0) for j = 1, …, n… 
