Discussion
Eliminating an arbitrary *function* rather than arbitrary constants generally produces an equation whose order is
Answer: C
Each arbitrary function eliminated costs one differentiation, so one function gives a first-order equation and two give a second-order one. The wave equation, for instance, comes of eliminating the two functions in \( y = f(x - ct) + g(x + ct) \). Arbitrary functions rather than constants are what make the general solution of a partial equation so much larger than an ordinary one's
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