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Mathematics
Differential Equations
Understanding Euler Method: Finding Initial Condition of y(0)=1
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[QUOTE="pasmith, post: 6855180, member: 415692"] In theory, yes, a solution curve is uniquely specified by requiring that a given point lies on it. But in practice we have a system whose current state is known and whose future behaviour we want to predict. It makes no sense to start our calculations at some future time, because we don't know what the system will be doing then. It makes little sense to start at some time in the past, because we will lose accuracy (and waste computational time) in getting from that point to the present. It makes sense then to start from "now", and to call that time 0. [/QUOTE]
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Mathematics
Differential Equations
Understanding Euler Method: Finding Initial Condition of y(0)=1
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