Laplace Transform Methods
2 1. LAPLACE TRANSFORM METHODS Due the uniqueness, we can define the inverse Laplace transform L¡1 as L¡1(fb)(t) = f(t): Theorem 1.3. If both fb(s) and bg(s) exist for all s > c, then af(t)+ bg(t) has Laplace transform for all constant a and b and af\+bg(s) = afb(s)+bbg(s);for all s > c So to find Laplace transform of summation, we just need to find
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