Not as simple as it appears

Calculus Level 5

\[\large \begin{cases} \dfrac{dv}{dt} = 4v - 5w \\ \dfrac{dw}{dt} = 2v - 3w \end{cases} \]

Solve the system of differential equations above. Given that \(v(0) = 8\) and \( w(0) = 5\), evaluate \(\left \lfloor v(1) - w(1) \right \rfloor \)

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