Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.
Consider a pond with 10000m3 of clean water that has water feeding into it from Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding into the pond at a concentration of 1lb per 50m³. (a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt days after the contamination began. (b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for either part.
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:Consider a pond with 10000m³ of clean water that has water feeding into it from
Stream A and water running out of it from Stream B, both at a rate of 600m³ per day. Starting at
time t = 0, coal ash begins getting pumped into the Stream A, contaminating the water feeding
into the pond at a concentration of 1lb per 50m³.
(a) Set up an initial value problem modeling the number of lbs of coal ash, C(t), in the pondt
days after the contamination began.
(b) Find limit as t → o of C(t). Note: You do not need to solve the initial value problem for
either part.
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