Compartment Models · Differential Equations

Differential Equations Quiz

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SYSTEMS OF DIFFERENTIAL EQUATIONS

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Consider a system with two compartments, A and B, with amounts

x(t)

and

y(t)

and constant volumes

V_A

and

V_B

. A substance flows from A to B at a rate of 10 L/min. Part of the substance is then recycled from B back to A at a rate of 3 L/min. An external source adds the substance to A at a rate of 7 L/min, and the substance is removed from B at a rate of 4 L/min. Which pair of terms correctly represents the transfer of the substance between A and B in the differential equation for

\frac{dx}{dt}

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