Answered: water flows into tank 1; mixed brine…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into tank 3, and out of tank 3; all at the given flow rate r gallons per minute. The initial amounts

x1(0)=x0 (lb),

and

x2(0)=0,

and

x3(0)=0

of salt in the three tanks are given, as are their volumes

V1,

V2,

and

V3.

First solve for the amounts of salt in the three tanks at time t, then determine the maximal amount of salt that tank 3 ever contains. Finally, construct a figure showing the graphs of

x1(t),

x2(t),

and

x3(t).

r=72,

x0=45,

V1=24,

V2=18,

V3=36

x1(t)=?

x2(t)=?

x3(t)=?

The maximum salt ever in tank 3 is ?
pounds.

(Round to two decimal places as needed.)

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