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57). (Formulation of Differential Equation Models): Consider the problem of a simple pendulum with a mass...

57). (Formulation of Differential Equation Models): Consider the problem of a simple pendulum with a mass m and string length L. Formulate the differential equation along with initial condition that describes the oscillations of the pendulum with and without damping (or air resistance) and also for small as well as large amplitude oscillations. PS: please try to express the meaning of each of the terms in your equation

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