The amounts x 1 (t) and x 2 (t) of salt in the two brine tanks of
Question:
The amounts x1(t) and x2(t) of salt in the two brine tanks of Fig. 7.3.8 satisfy the differential equations
where ki = r/ Vi as usual. In Problems 29 and 30, solve for x1 (t) and x2 (t), assuming that r = 10 (gal/min), x1 (0) = 15 (lb), and x2 (0) = 0. Then construct a figure showing the graphs of x1 (t) and x2 (t).
V1 = 25 (gal), V2 = 40 (gal)
Transcribed Image Text:
dx1 dt = -k1x1 + k2x2, dx2 dt = k₁x1-k2x2,
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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