Transform the given system of differential equations into an equivalent system of first-order differential equations. x' +6x' - 6x+4y=0 y" - 5y' + 6x-3y = sin t Let x₁ = X, X₂=X', Yy₁ = y, and y₂ =y'. Complete the system below. X₁' X₂' = Y₁' = Y₂ ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transform the given system of differential equations into an equivalent system of first-order differential equations.
x' +6x' - 6x+4y=0
y" - 5y' + 6x-3y = sin t
Let x₁ = X, X₂=X', Yy₁ = y, and y₂ =y'. Complete the system below.
X₁'
X₂' =
Y₁' =
Y₂
||
Transcribed Image Text:Transform the given system of differential equations into an equivalent system of first-order differential equations. x' +6x' - 6x+4y=0 y" - 5y' + 6x-3y = sin t Let x₁ = X, X₂=X', Yy₁ = y, and y₂ =y'. Complete the system below. X₁' X₂' = Y₁' = Y₂ ||
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