Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 3 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute. Let a be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Ax, in terms of the amount of salt in the solution a and the incremental change in time At. Enter At as "Deltat". 3x Ax= 18- 5 Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. grams help (formulas) x(t) = 26-26e
Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 3 grams per liter is added at a rate of 6 liters per minute. The tank is well mixed and drained at 6 liters per minute. Let a be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Ax, in terms of the amount of salt in the solution a and the incremental change in time At. Enter At as "Deltat". 3x Ax= 18- 5 Deltat grams help (formulas) Find a formula for the amount of salt, in grams, after t minutes have elapsed. grams help (formulas) x(t) = 26-26e
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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Ordinary Diff Equations
Why is x(t) wrong ?

Transcribed Image Text:Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 3 grams per liter is added at a rate of 6 liters per minute.
The tank is well mixed and drained at 6 liters
per
minute.
Let x be the amount of salt, in grams, in the solution after t minutes have elapsed. Find a formula for the incremental change in the amount of salt, Ax,
in terms of the amount of salt in the solution x and the incremental change in time At. Enter At as "Deltat".
3x
grams help (formulas)
Ax
18
Deltat
Find a formula for the amount of salt, in grams, after t minutes have elapsed.
x(t) =
grams help (formulas)
26-26e
3t
5
How long must the process continue until there are exactly 25 grams of salt in the tank?
minutes help (numbers)
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