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

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

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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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