Transform the given differential equation into an equivalent system of first-order differential equations. x(4) - 5x" +5x=7t³ cos t Let x₁ = X₁ X₂ = x', X3 = x', and x4 = x . Complete the system below. x₁²: X₂²: X3'= X4' =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 15E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Transform the given differential equation into an equivalent system of first-order differential equations.
3
(4)
x+)-5x" + 5x = 7t³ cos t
Let x₁ = X₁ X₂ = x', X3 = x', and x4 = x
x₁' =
X₂' =
X3'
X4' =
11
Complete the system below.
Transcribed Image Text:Transform the given differential equation into an equivalent system of first-order differential equations. 3 (4) x+)-5x" + 5x = 7t³ cos t Let x₁ = X₁ X₂ = x', X3 = x', and x4 = x x₁' = X₂' = X3' X4' = 11 Complete the system below.
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ISBN:
9780321964038
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GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,