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Show that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qs

Show that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 53E
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Show that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qs
Transcribed Image Text:Show that 2et |x(t) = is a solution to the system of linear homogeneous differential equations x'₁ = 2x1 + x2 x3, x2 = x1 + x2 + 2x3, x3 = x = x1 + 2x2 x3. Find the value of each term in the equation x1 order given.) = 2x1 x2 x3 in terms of the variable t. (Enter the terms in the ☐ = 0 + 0 + ☐ help (formulas) Find the value of each term in the equation x 2 = x1 + x2+2x3 terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + help (formulas) Find the value of each term in the equation x3 = x1 + 2x2 + x3 in terms of the variable t. (Enter the terms in the order given.) ☐ = 0 + 0 + ☐ help (formulas) Book: Section 3.3 of Notes on Diffy Qs
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