5. The concentration of salt x in a home made soap maker is given as a function of time by dx = 37.5 – 3.5x dt At the initial time,t =0, the salt concentration in the tank is 50 g/L. a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?
5. The concentration of salt x in a home made soap maker is given as a function of time by dx = 37.5 – 3.5x dt At the initial time,t =0, the salt concentration in the tank is 50 g/L. a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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![5. The concentration of salt x in a home made soap maker is given as a function of time by
dx
= 37.5 – 3.5x
dt
At the initial time, t = 0, the salt concentration in the tank is 50 g/L.
a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?
b. Using all Runge-kutta 2nd order techniques and Runge-Kutta 4th order method and a step size of, h = 1.5 min , what is
the salt concentration after 6 minutes?
c. Compare the absolute percent relative error of all the method and give a conclusion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd993ea7d-6eab-49b5-9ee0-fd0db247da20%2Fb150c35c-e323-4f6f-b4a9-69e838db09ab%2Fxh7f6xh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. The concentration of salt x in a home made soap maker is given as a function of time by
dx
= 37.5 – 3.5x
dt
At the initial time, t = 0, the salt concentration in the tank is 50 g/L.
a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?
b. Using all Runge-kutta 2nd order techniques and Runge-Kutta 4th order method and a step size of, h = 1.5 min , what is
the salt concentration after 6 minutes?
c. Compare the absolute percent relative error of all the method and give a conclusion.
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