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Mathematics
Differential Equations
Fundamental matrix of a second order 2x2 system of ODEs
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[QUOTE="jasonRF, post: 6867653, member: 192203"] An equivalent approach is to leave it as a system of second-order ODEs. Start with $$ \mathbf{x''} = A\mathbf{x} $$ and assume a solution of the form ##\mathbf{x} = \mathbf{x_0} \, e^{\lambda t}##. You then get $$ \lambda^2 \mathbf{x_0} = A\mathbf{x_0}. $$ which is a standard eigenvalue problem. This is the approach I always use for equations of this form. jason [/QUOTE]
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Mathematics
Differential Equations
Fundamental matrix of a second order 2x2 system of ODEs
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