Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the acceptable level is only. (5*10° part/m³), The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration (C) of the pollutant as a function of time (in weeks) is given by: dC +0.06 C = 0.C (0) = 107 find the concentration of the pollutant after (6)weeks and step size (h=2) weeks by using (choose only one ): a- Runge-Kutta 2nd order b- Runge-Kutta 4th order
Q2): A polluted lake has an initial concentration of a bacteria of (1*107 part/m³), while the acceptable level is only. (5*10° part/m³), The concentration of the bacteria will reduce as fresh water enters the lake. The differential equation that governs the concentration (C) of the pollutant as a function of time (in weeks) is given by: dC +0.06 C = 0.C (0) = 107 find the concentration of the pollutant after (6)weeks and step size (h=2) weeks by using (choose only one ): a- Runge-Kutta 2nd order b- Runge-Kutta 4th order
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:Q2): A polluted lake has an initial concentration of a bacteria of
(1*107 part/m³), while the acceptable level is only. (5*106 part/m³),
The concentration of the bacteria will reduce as fresh water enters the lake.
The differential equation that governs the concentration (C) of the pollutant
as a function of time (in weeks) is given by:
dC
+0.06 C = 0,C (0) = 107
dr
find the concentration of the pollutant after (6)weeks and step size (h=2)
weeks by using (choose only one ):
a- Runge-Kutta 2nd order
b- Runge-Kutta 4th order
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