Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

part A and B

Problem: 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's method and a step size of h = 1.5 min, what is the salt concentration after 3 minutes b) Using Runge-Kutta 4th order method and a step size of h = 1.5 min, what is the salt concentration after 3 minutes c) Solve the given ODE and find the exact solution. What is the salt concentration after 3 mi calculate by the exact solution d) Compare and discuss your results in part a, b, and c
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Transcribed Image Text:Problem: 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's method and a step size of h = 1.5 min, what is the salt concentration after 3 minutes b) Using Runge-Kutta 4th order method and a step size of h = 1.5 min, what is the salt concentration after 3 minutes c) Solve the given ODE and find the exact solution. What is the salt concentration after 3 mi calculate by the exact solution d) Compare and discuss your results in part a, b, and c
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