MAT244-2013S > Ch 3

Bonus problem for week 3b

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Brian Bi:
I'm not sure whether that image got corrupted on upload or whether you're just pointing out that I erred in putting $y$ outside the braces instead of inside where it should be. (I fixed that now, btw.)

Victor Ivrii:
So, one can rewrite solution in  either form
\begin{equation}
y= A \cos (\omega t) + B\sin (\omega t)
\label{eq-a}
\end{equation}
or
\begin{equation}
y= C \cos (\omega (t-t_0))
\label{eq-b}
\end{equation}
where (\ref{eq-a}) is what we usually get from linear equations point of view (Ch 3) and  (\ref{eq-b}) what we get from autonomous systems (not necessarily linear, and we will be more interested in non-linear--Chapter 9)



PS. Try to add an image as an attachment (preferred) rather than upload to an external website where it got borked beyond recovery. As we would like to keep class archives for a future generations, we don't want rely upon other websites

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