# The amounts x 1 (t) and x 2 (t) of salt in the two brine tanks of Fig. 7.3.8 satisfy

## Question:

The amounts x_{1}(t) and x_{2}(t) of salt in the two brine tanks of Fig. 7.3.8 satisfy the differential equations

where k_{i} = r/ V_{i} as usual. In Problems 29 and 30, solve for x_{1} (t) and x_{2} (t), assuming that r = 10 (gal/min), x_{1} (0) = 15 (lb), and x_{2} (0) = 0. Then construct a figure showing the graphs of x_{1} (t) and x_{2} (t).

V_{1} = 50 (gal), V_{2} = 25 (gal)

## Step by Step Answer:

**Related Book For**

## Differential Equations And Linear Algebra

**ISBN:** 9780134497181

4th Edition

**Authors:** C. Edwards, David Penney, David Calvis

**Question Details**

Chapter #

**7**Section: Problems 7.3

Problem: 29

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