Transform the given differential equation into an equivalent system of first-order differential equations. ²x" - 6x² + (1 -t²) x = 0 Let x₁ = x and x₂ = x'. Complete the system below. x₁' = 7 x₂ = 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 9T
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Transform the given differential equation into an equivalent system of first-order differential equations.
2²x" - 6x' + (1 -1²)x=0
Let x₁ = x and x₂ = x'. Complete the system below.
Xq' =
X₂' =
11
11
Transcribed Image Text:Transform the given differential equation into an equivalent system of first-order differential equations. 2²x" - 6x' + (1 -1²)x=0 Let x₁ = x and x₂ = x'. Complete the system below. Xq' = X₂' = 11 11
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