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The following set of differential equations can be used to represent the behavior of a simple spring-mass system, with ????1(????) the mass's position and ????2(????)

The following set of differential equations can be used to represent the behavior of a simple spring-mass system, with ????1(????) the mass's position and ????2(????) the mass's velocity: ????????1 ???????? = ????2 ????????2 ???????? = ????1 For the initial condition of ????1 (0) = 1.0, ????2 (0) = 0, and a step size of 0.1 seconds, determine the values ????1 (0.3) and ????2(0.3) using Euler's method.

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