Solution of a system of second-order homogeneous ordinary differential equations with constant Coefficients of the form

where

- 1. Solve the Characteristic Equation of
*B*to get Eigenvalues , ..., . Define . - 2. Compute the corresponding Eigenvectors , ..., .
- 3. The normal modes of oscillation are given by , ..., , where , ..., and , ..., are arbitrary constants.
- 4. The general solution is .

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1999-05-26