Let x(t) represent the amount of salt (grams) in a 30 liter tank after t minutes. A solution whose salt concentration is 16 g/L flows into the tank at a rate of 6 L/min and the tank is continuously stirred while being drained at a rate of 6 L/min. The differential equation in terms of (t) would then be +0.2x = 96. dx dt Let C'(t) represent the concentration of salt in the tank after tminutes. Convert the differential equation to be in terms of C(t) and then isolate dC dt dC dt =

Let x(t) represent the amount of salt (grams) in a 30 liter tank after t minutes. A solution whose salt concentration is 16 g/L flows into the tank at a rate of 6 L/min and the tank is continuously stirred while being drained at a rate of 6 L/min. The differential equation in terms of (t) would then be +0.2x = 96. dx dt Let C'(t) represent the concentration of salt in the tank after tminutes. Convert the differential equation to be in terms of C(t) and then isolate dC dt dC dt =

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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Question

Need help with this Linear First Order Mixing Problem, thank you!

Let x(t) represent the amount of salt (grams) in a 30 liter tank after t minutes. A solution whose salt
concentration is 16 g/L flows into the tank at a rate of 6 L/min and the tank is continuously stirred while
being drained at a rate of 6 L/min.
The differential equation in terms of x(t) would then be +0.2x = 96.
dx
dt
Let C(t) represent the concentration of salt in the tank after tminutes. Convert the differential equation to
be in terms of C(t) and then isolate
dC
dt
dC
dt
=

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