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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

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

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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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. 6 * X₂' Y₁' = Y₂' ✔ ||
Transcribed Image Text: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. 6 * X₂' Y₁' = Y₂' ✔ ||
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