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The Laplace transform y(s) of a function y(t) is defined as, P(s) = [y(t)e dt. If y(t) obeys a differential equation d'y dt then y(s) will be 1 (2+s) (1+s) -+y=et with y(0) = 0 and y'(0) = 0. O 1 O (2-s) (1+s) 1 (2+s) (1-8) 1 (2-s) (1-s)
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A First Course in Differential Equations with Modeling Applications
Authors: Dennis G. Zill