о A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per minute, which is exactly the amount of water that is spilled per minute by a group of kids playing in the pool. The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the water in the pool. The water that is spilled has the same concentration of chlorine as the rest of the pool. If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following differential equations models this mixing problem? о O dC с dt 25 dC dt dC dt dC dt 25 -(₁ 0.2 + 100 000 с 20 000 C 20 000 C 20 000
о A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per minute, which is exactly the amount of water that is spilled per minute by a group of kids playing in the pool. The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the water in the pool. The water that is spilled has the same concentration of chlorine as the rest of the pool. If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following differential equations models this mixing problem? о O dC с dt 25 dC dt dC dt dC dt 25 -(₁ 0.2 + 100 000 с 20 000 C 20 000 C 20 000
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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Transcribed Image Text:A swimming pool holds 100m³ of water. A small hose adds 5 litres of fresh water per minute, which is exactly
the amount of water that is spilled per minute by a group of kids playing in the pool.
The fresh water is mixed with chlorine with a concentration of 5mg per litre which instantly mixes with the
water in the pool. The water that is spilled has the same concentration of chlorine as the rest of the pool.
If C(t) is the overall amount of chlorine (in mg) in the pool at time t (in minutes), which of the following
differential equations models this mixing problem?
dC
dt
dC
dt
dC
dt
dC
dt
-
C
25
: 25
(1
0.2 +
100 000
C
20 000
C
20 000
C
20 000
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