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Problem
Given the IVP
y(t0) = y0
approximate y(t1).
Assumptions
The function f(t, y) should be continuous in both variables.
Tools
We will use Taylor series.
Initial Conditions
Set h = t1 - t0. Let y1 be the approximation of y(t1).
Process
Let y1 = y0 + h f( t0, y0 ).
Copyright ©2005 by Douglas Wilhelm Harder. All rights reserved.
