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Uniqueness theorem

Differential Equations
From Existence and Uniqueness of Solutions


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The differential equation dv/dt = f(t,v) with f = kv^{2/3} does not satisfy the uniqueness theorem condition
(reference just in case: at (t,v) = (0,0)
in that df/dv must be continuous in its vicinity, but

df/dv = (2k/3)v^{-1/3)

is not (it is singular at v=0).

To discuss the ...

Solution Summary

This provides an example of relating a raindrop equation to the uniqueness theorem.