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Consider the following system of differential equations. dy dt dx dt L{x} = X - - 2y, S-11 2 S +9 = 5x - Y, Take the Laplace transform of the system and solve for L{x}. (Write your answer as a fu x(0) = 1, y(0) = 3 Use the Laplace transform to solve the given system of differential equations. x(t) = -cos (31) -sin (31) 3

Consider the following system of differential equations. dy dt dx dt L{x} = X - - 2y, S-11 2 S +9 = 5x - Y, Take the Laplace transform of the system and solve for L{x}. (Write your answer as a fu x(0) = 1, y(0) = 3 Use the Laplace transform to solve the given system of differential equations. x(t) = -cos (31) -sin (31) 3

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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Consider the following system of differential equations. dy dt Take the Laplace transform of the system and solve for L{x}. (Write your answer as a function of s.) L{x} = y(t) = = dx dt = X 2y, s - 11 ²+9 = 5x - y, x(0) : Use the Laplace transform to solve the given system of differential equations. x(t) = −cos (3t) — sin ( 3t) = -1, y(0) = 3 8 3 cos ( 3t) - sin ( 3t)
Transcribed Image Text:Consider the following system of differential equations. dy dt Take the Laplace transform of the system and solve for L{x}. (Write your answer as a function of s.) L{x} = y(t) = = dx dt = X 2y, s - 11 ²+9 = 5x - y, x(0) : Use the Laplace transform to solve the given system of differential equations. x(t) = −cos (3t) — sin ( 3t) = -1, y(0) = 3 8 3 cos ( 3t) - sin ( 3t)
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