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Given the differential equation y' ' + 4y' + 4y = 0, y(0) = − 1, y'(0) = == - 2 a) Apply the Laplace Transform and solve for Y(s) Y(s): = b) Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =

Given the differential equation y' ' + 4y' + 4y = 0, y(0) = − 1, y'(0) = == - 2 a) Apply the Laplace Transform and solve for Y(s) Y(s): = b) Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the differential equation y' ' + 4y' + 4y = 0, y(0) = − 1, y'(0) = == - 2 a) Apply the Laplace Transform and solve for Y(s) Y(s): = b) Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =
Transcribed Image Text:Given the differential equation y' ' + 4y' + 4y = 0, y(0) = − 1, y'(0) = == - 2 a) Apply the Laplace Transform and solve for Y(s) Y(s): = b) Now solve the IVP by using the inverse Laplace Transform y(t) = L¯¹{Y(s)} y(t) =
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