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\titlesub{Part 2: Progress Report}{Topic: Mystery Circuit}

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\section{Further Exploration}

We will reduce the system to a linear homogenous system and use the
Eigenvalues and Eigenvectors to find a similar solution to the system
of differential equations we have developed, and accordingly 
model the circuit. Using this, we can use either the method of
undetermined coefficients or variation of parameters to find a solution
to this system in general for various resistances and capacitances.
Furthermore, we will graphically represent various parameters,
investigate sensitivity to initial conditions, and attempt to generalize
our findings.

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