DiffEqEigenvalue Method

Linear Systems of ODEs — Eigenvalue Method

Solve X′ = AX for a 2×2 system using eigenvalues and eigenvectors of matrix A.

Live Calculator · Step-by-Step · Differential Equations

Matrix A and Initial Conditions

Matrix A =

[

]

x₁(0)

x₂(0)

Results

Characteristic Equation

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Eigenvalues

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Eigenvectors

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General Solution

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Particular Solution (with ICs)

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Step-by-Step Work

Your solution will appear here.

Phase Plane — Solution Trajectory