Newtonian Dynamics I
In this chapter, we shall present a wide variety of intellectually delectable recipes involving velocity- and position-dependent forces. The resulting Newtonian equations of motion will be either linear or nonlinear ordinary differential equations (ODEs). Nonlinear ODEs contain one or more terms that are not of first order (linear) in the dependent variable(s). Linear ODEs can usually be solved analytically in terms of known functions, but most nonlinear ODEs of physical interest must be solved numerically. Fortunately, Maple is capable of not only generating analytic solutions (when they exist), but also has various built-in algorithms for numerically solving linear and nonlinear ODEs.
KeywordsLift Coefficient Trout Lake Golf Ball Outer Planet Nonlinear ODEs
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