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Solve the system of differential equations. = - X1 6x1 + 2x2 X2' - 2x1 - 10x2 2, x₂(0) - 22 = x1 (0) x₁ (t) = x₂ (t) = = -

Solve the system of differential equations. = - X1 6x1 + 2x2 X2' - 2x1 - 10x2 2, x₂(0) - 22 = x1 (0) x₁ (t) = x₂ (t) = = -

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the system of differential equations. · 6x1 + 2x₂ x1 = X2' = 2x1 - = - 2, x₂(0) - 22 x₁ (0) x₁(t) = x₂ (t) = 10x2 =
Transcribed Image Text:Solve the system of differential equations. · 6x1 + 2x₂ x1 = X2' = 2x1 - = - 2, x₂(0) - 22 x₁ (0) x₁(t) = x₂ (t) = 10x2 =
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Solve the system of differential equations. - 6x1 + 2x2 X1 X₂' = - 2x1 - 10x₂ x₁ (0) = – 2, x₂(0) = - 22 x₁ (t) = -22e -22e-8t +48e t(-+- 2/2 ) x₂ (t) = −22e-8t+48e-8t(t) - X OT
Transcribed Image Text:Solve the system of differential equations. - 6x1 + 2x2 X1 X₂' = - 2x1 - 10x₂ x₁ (0) = – 2, x₂(0) = - 22 x₁ (t) = -22e -22e-8t +48e t(-+- 2/2 ) x₂ (t) = −22e-8t+48e-8t(t) - X OT
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