- #1
skrat
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Homework Statement
Solve
$$\ddot {\vec a}=A\vec a+B\dot{ \vec a}+\vec F$$
if A and B are known matrices and F is a constant vector.
Homework Equations
The Attempt at a Solution
My plan was to define ##\vec b=\dot{\vec a}## to move from second order to first order system ##\dot{\vec b}=A\vec a+B\vec b+\vec F##
But now... well, I have got absolutely no idea how to continue! I wanted to use theorem 23 on page 580 in chapter 11.7 in this work: http://www.math.utah.edu/~gustafso/2250systems-de.pdf BUT I have got a ##A\vec a ## term... which... wel... I don't know what to do with it!
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