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 2 weeks, Calculate (i.) (ii.) (ii.) The concentration of the phosphorus after 6 weeks. Exact concentration after 6 weeks Relative absolute error

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Chapter2: Second-order Linear Odes
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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,
dt
C (0) =107 ppm
Using Euler's method and a step size of 2 weeks,
Calculate
(i.)
(ii.)
(iii.)
The concentration of the phosphorus after 6 weeks.
Exact concentration after 6 weeks
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, dt C (0) =107 ppm Using Euler's method and a step size of 2 weeks, Calculate (i.) (ii.) (iii.) The concentration of the phosphorus after 6 weeks. Exact concentration after 6 weeks Relative absolute error
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