x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 %3D %3D %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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Solve the given DE using laplace transforms. answer is provided but show solution

x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18
Answer: x(t) = et + et + 2 cosh(2t)
Transcribed Image Text:x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 Answer: x(t) = et + et + 2 cosh(2t)
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