Differential Equationshard
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A tank contains V0V_0 liters of brine. If the concentration of salt C(t)C(t) is governed by dAdt=rinCinroutA(t)V(t)\frac{dA}{dt} = r_{in} C_{in} - r_{out} \frac{A(t)}{V(t)}, what happens if rin<routr_{in} < r_{out}?