Laplace Transform: Derivation of Key Equations

The #Laplace #transform of a function f(t), defined for all real numbers t ≥ 0, is the function F(s), which is defined by
F(s) = ∫e⁻ˢᵗf(t)dt
The integral depends on types of functions of interest. A necessary condition for existence of the integral is that function must be locally integrable on [0, ∞).

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