Problem 1( lem The following differential equation models fluid draining from a conically shaped tank where t is time in seconds and y is the height of the fluid in the tank in meters: (nу²). dy dt -4√y Assuming that the initial height of the fluid in the tank is 5 meters, use Euler's method to find the value of t when the fluid goes just below a height of 0.1 meters. Use At = 1 × 10-3 s. Print your answer to the Command Window as follows using a variable (that is, do not just look at the result and type it into the fprintf statement): The fluid height goes just below 0.1 m when t=17.564 seconds. Note: This is the correct answer. You must have this problem completely correct in order to receive credit.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.2: Introductory Concepts
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Problem 1(
lem
The following differential equation models fluid draining from a conically shaped tank where t is time in
seconds and y is the height of the fluid in the tank in meters:
(nу²).
dy
dt
-4√y
Assuming that the initial height of the fluid in the tank is 5 meters, use Euler's method to find the value of
t when the fluid goes just below a height of 0.1 meters. Use At = 1 × 10-3 s. Print your answer to the
Command Window as follows using a variable (that is, do not just look at the result and type it into the
fprintf statement):
The fluid height goes just below 0.1 m when t=17.564 seconds.
Note: This is the correct answer. You must have this problem completely correct in order to receive
credit.
Transcribed Image Text:Problem 1( lem The following differential equation models fluid draining from a conically shaped tank where t is time in seconds and y is the height of the fluid in the tank in meters: (nу²). dy dt -4√y Assuming that the initial height of the fluid in the tank is 5 meters, use Euler's method to find the value of t when the fluid goes just below a height of 0.1 meters. Use At = 1 × 10-3 s. Print your answer to the Command Window as follows using a variable (that is, do not just look at the result and type it into the fprintf statement): The fluid height goes just below 0.1 m when t=17.564 seconds. Note: This is the correct answer. You must have this problem completely correct in order to receive credit.
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