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A differential equation is an equation that contains derivatives of a function. Folklore the advantage of the principle of least action is that in one and the same equation it relates the quantities that are immediately relevant not only to mechanics but also to electrodynamics and thermodynamics. Thus, if youre looking for more of the nitty gritty math theory, you may be disappointed here. By definition linear differential equation have the form. We start with some simple examples of explicitly solvable equations.
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