Not as simple as it appears

Calculus Level 5

{dvdt=4v5wdwdt=2v3w\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)=8v(0) = 8 and w(0)=5 w(0) = 5, evaluate v(1)w(1)\left \lfloor v(1) - w(1) \right \rfloor

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