Suppose that in the cascade shown in Fig. 1.5.5, tank 1 initially contains 100 gal of pure

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Suppose that in the cascade shown in Fig. 1.5.5, tank 1 initially contains 100 gal of pure ethanol and tank 2 initially contains 100 gal of pure water. Pure water flows into tank 1 at 10 gal/min, and the other two flow rates are also 10 gal/min.

(a) Find the amounts x(t) and y(t) of ethanol in the two tanks at time t ≧ 0.

(b) Find the maximum amount of ethanol ever in tank 2.

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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Suppose that in the cascade shown in Fig. 1.5.5, tank 1 initially contains 100 gal of pure

Question:

Tank 1 Volume V₁ Amount x Tank 2 Volume V₂ Amount y FIGURE 1.5.5. A cascade of two tanks.

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a b In the notation of Equation 18 of the text the differential equation for ...View the full answer

Differential Equations And Linear Algebra

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