Transform the given system of differential equations into an equivalent system of first-order differential equations.x' = -25x + 25yy"=60x-60y + 60 cos 10tLet x₁ = x, x₂ = x', Y₁ = y, and y₂ = y'. Complete the system below.6*X₂'Y₁' =Y₂'✔||

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Answered: Transform the given system of…

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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Transform the given system of differential equations into an equivalent system of first-order differential equations. x"' = -25x+25y y'' = 60x-60y + 60 cos 10t Let x₁ = x, x₂ = x', y₁=y, and y₂ =y'. Complete the system below. X₁ X₂: ¥₁' Y₂= 6 11