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Use the Laplace transform to solve the given system of differential equations. xp = 3y + et dt dy 12x - t dt x(0) = 1, У(0) 3D1 1 1 t 617 6t -e' 720 173 -6t e x(t) -e' + 12 35 1008 1 617 6t 173 -6t 12 e' + 35 y(t) - 36 720 1008

Use the Laplace transform to solve the given system of differential equations. xp = 3y + et dt dy 12x - t dt x(0) = 1, У(0) 3D1 1 1 t 617 6t -e' 720 173 -6t e x(t) -e' + 12 35 1008 1 617 6t 173 -6t 12 e' + 35 y(t) - 36 720 1008

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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Use the Laplace transform to solve the given system of differential equations. xp = 3y + et dt dy 12x - t dt x(0) = 3D 1, у(0) %3 1 1 t e' + 35 1 617 6t 173 -6t x(t) t - 12 720 1008 12 t e' + 35 617 6t 173 -6t 1008 1 y(t) - 36 720 Need Help? Read It Watch It Master It
Transcribed Image Text:Use the Laplace transform to solve the given system of differential equations. xp = 3y + et dt dy 12x - t dt x(0) = 3D 1, у(0) %3 1 1 t e' + 35 1 617 6t 173 -6t x(t) t - 12 720 1008 12 t e' + 35 617 6t 173 -6t 1008 1 y(t) - 36 720 Need Help? Read It Watch It Master It
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