Solve x₁ = x₂, x₂ = -x₁ using the eigenvalue method.
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:Exercise 3.4.104: Solve x₁ = x₁, x₂ = -x₁ using the eigenvalue method.
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Step 1: Write the system of first order ode's
VIEWStep 2: Write the matrix form of the given system and determine tha eigenvalues of the coefficient matrix
VIEWStep 3: Determine the corresponding eigenvectors
VIEWStep 4: Use a substitution
VIEWStep 5: Determine the values of the new variables
VIEWStep 6: Determine the required solutions X1 ,X2
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