Consider the two-mass, three-spring system of Example 2.Instead of solving the system of four first order equations, we indicate here how to proceed directly from the system of two second order equations given in Eq.(18) of section 6.1.
(a) Show that using the parameter values of Example 2,
(b) Assume that
Note that
(c) Find the eigenvalues and eigenvectors of
(d) Write down the expressions for
(e) By differentiating the result from part (d), write down expressions for
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Differential Equations: An Introduction to Modern Methods and Applications
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