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The initial concentration of phosphorous (C) in a waste water pond is 10' ppm, as against he acceptable limit of 6.75x10 ppm. The concentration (C) will reduce as fresh water enters the pond. The differential equation that governs the concentration, C as a function of time (in weeks) is given by, dC +0.06 C = 0, C (0) =10 ppm dt Using Euler's method and a step size of 3.5 weeks, Calculate (1.) The concentration of the phosphorus after 7 weeks. (H.) Exact concentration after 7 weeks (.) Relative absolute error

The initial concentration of phosphorous (C) in a waste water pond is 10' ppm, as against he acceptable limit of 6.75x10 ppm. The concentration (C) will reduce as fresh water enters the pond. The differential equation that governs the concentration, C as a function of time (in weeks) is given by, dC +0.06 C = 0, C (0) =10 ppm dt Using Euler's method and a step size of 3.5 weeks, Calculate (1.) The concentration of the phosphorus after 7 weeks. (H.) Exact concentration after 7 weeks (.) Relative absolute error

Advanced Engineering Mathematics
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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The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the acceptable limit of 6.75x10 ppm. The concentration (C) will reduce as fresh water enters the pond. The differential equation that governs the concentration, C as a function of time (in weeks) is given by. dc +0.06 C = 0, C (0) =107 ppm dt Using Euler's method and a step size of 3.5 weeks, Calculate (.) The concentration of the phosphorus after 7 weeks. (H.) Exact concentration after 7 weeks (l.) Relative absolute error
Transcribed Image Text:The initial concentration of phosphorous (C) in a waste water pond is 107 ppm, as against the acceptable limit of 6.75x10 ppm. The concentration (C) will reduce as fresh water enters the pond. The differential equation that governs the concentration, C as a function of time (in weeks) is given by. dc +0.06 C = 0, C (0) =107 ppm dt Using Euler's method and a step size of 3.5 weeks, Calculate (.) The concentration of the phosphorus after 7 weeks. (H.) Exact concentration after 7 weeks (l.) Relative absolute error
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