I'am in a course of Introduction to Linear Differential Equations and teacher made us this question in class.
we work in $\mathbb{R}$, and any help to answer this is welcome
2026-04-07 00:21:45.1775521305
Are there functions that are not of exponential order for which you can define a Laplace transform?
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A good example is $\ln x$ .
Its laplace transform is $-\dfrac{\gamma+\ln s}{s}$ .