Hi, I'm having trouble finding the particular solution of the following system.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\left[ {\begin{array}{*{20}c}

{\mathop x\limits^ \bullet } \\

{\mathop y\limits^ \bullet } \\

\end{array}} \right] = \left[ {\begin{array}{*{20}c}

1 & { - 1} \\

{ - 1} & 1 \\

\end{array}} \right]\left[ {\begin{array}{*{20}c}

x \\

y \\

\end{array}} \right] + \left[ {\begin{array}{*{20}c}

2 \\

{ - 5} \\

\end{array}} \right]

[/tex]

I found the complimentary function, it had some sines and cosines in it but I don't think that matters in terms of finding the particular solution. The independent variable t isn't present anywhere in the equation so I don't need to do any differentiation. If I set x' = y' = 0 (the prime denotes differentiation wrt t) then I end up with an 'inconsistent' set of equations, namely, x - y = 2 and x - y = 5. Can someone tell me how I can find the particular solution? Thanks.

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# Homework Help: Particular solution DE

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