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{\bf Question}

Consider the problem

\[
{d^2{\bf x}\over dt^2}=M{\bf x}
\]

where

\[
M=\pmatrix{2 & -1 \cr
           -2 & 3 \cr}\qquad {\bf x}=\pmatrix{x \cr y \cr}
\]

By introducing two new variables write the problem as four first
order differential equations and then express this in matrix form.

Using the new form of the problem find the general solution to the
equation $(*)$




\vspace{0.25in}

{\bf Answer}

% No answer given


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