\magnification=1200
\baselineskip12pt
\noindent 11. Find the general solution to $y^{\prime\prime}-5y^\prime +y=g(t)$. 
\medskip
\noindent {\bf Comment.} This is a standard sort of variation of parameters
problem. The only difficulty is the hyper-compressed -- and nonstandard --
notation that Boyce and DiPrima use when they state the answer. Expanded in
more standard notation the answer is:
$$ y=c_1e^{2t}+c_2e^{3t}+e^{2t}\int -g(t)e^{-2t}dt +e^{3t}\int g(t)e^{-3t}dt$$
Written this way both integrals are indefinite integrals -- also known as
anti-derivatives.
\end