The equation k(dQI dt) + Q(t) = I (1) has been used to describe the gradual depletion of flow in a river during a rainless period. In this case, I(t) = 0 and Q(t) = Qo for t = 0. Solve the differential equation for Q(t) for t>0 and plot the result over a 20-day period if k = 10 days and Qo : %3D %3D %3D 100 cfs. %3D

Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN:9781305635180
Author:Braja M. Das, Nagaratnam Sivakugan
Publisher:Braja M. Das, Nagaratnam Sivakugan
Chapter8: Stresses In A Soil Mass
Section: Chapter Questions
Problem 8.14P
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The equation k(dQI dt) + Q(t) = I (t) has been used to describe the gradual depletion
of flow in a river during a rainless period. In this case, 1(t) = 0 and Q(1) = Qo for
t = 0. Solve the differential equation for Q(t) for t>0 and plot the result over a
20-day period if k = 10 days and Qo = 100 cfs.
%3D
%3|
Transcribed Image Text:The equation k(dQI dt) + Q(t) = I (t) has been used to describe the gradual depletion of flow in a river during a rainless period. In this case, 1(t) = 0 and Q(1) = Qo for t = 0. Solve the differential equation for Q(t) for t>0 and plot the result over a 20-day period if k = 10 days and Qo = 100 cfs. %3D %3|
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