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Find the real-valued solution to the initial value problem x₁ = 3x₁ + 2x2, x₂ = -5x₁ - 3x2, Use t as the independent variable in your answers. x₁ (t) = x₂(t) = x₁ (0) = 8, x₂ (0) = -15.

Find the real-valued solution to the initial value problem x₁ = 3x₁ + 2x2, x₂ = -5x₁ - 3x2, Use t as the independent variable in your answers. x₁ (t) = x₂(t) = x₁ (0) = 8, x₂ (0) = -15.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3 2 x. -3 Find the eigenvalues and eigenvectors for the coefficient matrix. -3+i help (numbers) help (matrices) -i and -3-i 12 = i help (numbers) help (matrices) Find the real-valued solution to the initial value problem x{ = 3x1 + 2x2, x = -5x1 – 3x2, x1(0) = 8, x2(0) = -15. Use t as the independent variable in your answers. x1(t) = help (formulas) x2(t) = help (formulas) LO II
Transcribed Image Text:3 2 x. -3 Find the eigenvalues and eigenvectors for the coefficient matrix. -3+i help (numbers) help (matrices) -i and -3-i 12 = i help (numbers) help (matrices) Find the real-valued solution to the initial value problem x{ = 3x1 + 2x2, x = -5x1 – 3x2, x1(0) = 8, x2(0) = -15. Use t as the independent variable in your answers. x1(t) = help (formulas) x2(t) = help (formulas) LO II
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