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Fay, Temple H. – International Journal of Mathematical Education in Science and Technology, 2002
We investigate the pendulum equation [theta] + [lambda][squared] sin [theta] = 0 and two approximations for it. On the one hand, we suggest that the third and fifth-order Taylor series approximations for sin [theta] do not yield very good differential equations to approximate the solution of the pendulum equation unless the initial conditions are…
Descriptors: Equations (Mathematics), Calculus, Computation, Mathematics Instruction