Talk:Cauchy problem

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Do you think this article should include a simpler description? I.e. it should mention the existence of solutions for familiar differential equations (R -> R, Vector equations...)

It would be nice if this article were to explain itself in simpler language. To someone without a degree in mathematics it is very difficult to understand. Can someone include practical examples and an account of the significance?218.208.222.135 03:47, 19 November 2006 (UTC)