Consider the following initial-value problem. 2y″ + 28y ′ + 99y = 0,    y(0) = 2,    y ′(0) = 0 Take the Laplace transform of the differential equation and solve for ℒ{y}.  (Write your answer as a function of s.) ℒ{y} =    Use the Laplace transform to solve the given initial-value problem. y(t) =

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Consider the following initial-value problem.
2y″ + 28y ′ + 99y = 0,    y(0) = 2,    y ′(0) = 0
Take the Laplace transform of the differential equation and solve for ℒ{y}.
 (Write your answer as a function of s.)
ℒ{y} = 
 
Use the Laplace transform to solve the given initial-value problem.
y(t) = 
 
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