# 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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