Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial conditio satisfies the differential equation below. x"(t) + 4x'(t) + 4x(t) = 4e2t x(0) = -1,x'(0) = -4

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial condition
satisfies the differential equation below.
x"(t) + 4x'(t) + 4x(t)
= 4e?t
x(0) = -1,x'(0) = -4
||
%D
Transcribed Image Text:Solve and prove that the solution derived from Laplace Transform of Derivatives and the initial condition satisfies the differential equation below. x"(t) + 4x'(t) + 4x(t) = 4e?t x(0) = -1,x'(0) = -4 || %D
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