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NUMERICAL CALCULATION OF SOLUTIONS TO "ORDINARY DIFFERENTIAL EQUATIONS" HIGHER THAN FIRST ORDER, WITH GIVEN INITIAL VALUES
"Ordinary Differential Equations" higher than First Order can be solved by employment of one of the methods discussed in Part IV, under the condition that they will first configured into a system of "Ordinary Differential Equations" of First Order.All the methods discussed appropriate for solving "Ordinary Differential Equations" of the First Order can be applied to obtain a solution for the system. Each "Ordinary Differential Equation" of higher than First Order, will must first be converted into a system of First Order "Ordinary Differential Equations" before we are able to device a solution for by using one of the Numerical Methods. Still, two additional things must be known: a) the Initial Values, and b) the solution's Time Interval.The numerical methods presented so far in Parts III & IV, including Euler's Method, can be suitably modified in order to give us solutions of "Ordinary Differential Equations" greater than First Order. The final form of the transformation should make it possible to resolve a system of First Order "Ordinary Differential Equations", with the Initial Values given.
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