The following set of differential equations can be used to represent that behavior of a simple spring-mass
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The following set of differential equations can be used to represent that behavior of a simple spring-mass system, with \(x_{1}(t)\) the mass's position and \(x_{2}(t)\) its velocity:
\(\frac{d x_{1}}{d t}=x_{2}\)
\(\frac{d x_{2}}{d t}=-x_{1}\)
For the initial condition of \(x_{1}(0)=1.0, x_{2}(0)=0\), and a step size 0.1 seconds, determine the values \(x_{1}(0.3)\) and \(x_{2}(0.3)\) using
(a) Euler's method,
(b) the modified Euler's method.
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Related Book For
Power System Analysis And Design
ISBN: 9781305632134
6th Edition
Authors: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
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