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Three disease carrying organisms decay exponentially in seawater ac- cording to the following model: p(t) = Ae-1.5t -0.3t + Be + Ce-0.05t Use general linear least-squares to estimate the initial concentration of each organism (A, B, and C ) given the following measurements: t 0.5 1 2 3 4 5 6 7 9 p(t) 6 4.4 3.2 2.7 2 1.9 1.7 1.4 1.1

Three disease carrying organisms decay exponentially in seawater ac- cording to the following model: p(t) = Ae-1.5t -0.3t + Be + Ce-0.05t Use general linear least-squares to estimate the initial concentration of each organism (A, B, and C ) given the following measurements: t 0.5 1 2 3 4 5 6 7 9 p(t) 6 4.4 3.2 2.7 2 1.9 1.7 1.4 1.1

Advanced Engineering Mathematics
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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I need a complete solution for 2 problems mentioned in the pictures below, these are from the Numerical-Analysis subject.

In case it has to be solved through programming (eg Matlab), just provide me the correct theory & algorithm that can be used for the corresponding excercise.

Thank you.

Problem 1. Three disease carrying organisms decay exponentially in seawater ac- cording to the following model: p(t) = Ae-1.5t ,-0.3t t p(t) + Be + Ce-0.05t Use general linear least-squares to estimate the initial concentration of each organism (A, B, and C) given the following measurements: 0.5 1 2 3 4 5 6 7 9 6 4.4 3.2 2.7 2 1.9 1.7 1.4 1.1
Transcribed Image Text:Problem 1. Three disease carrying organisms decay exponentially in seawater ac- cording to the following model: p(t) = Ae-1.5t ,-0.3t t p(t) + Be + Ce-0.05t Use general linear least-squares to estimate the initial concentration of each organism (A, B, and C) given the following measurements: 0.5 1 2 3 4 5 6 7 9 6 4.4 3.2 2.7 2 1.9 1.7 1.4 1.1
Problem 3. An insulated heated rod with a uniform heat source can be modeled with the Poisson equation: d²T dx² = -f(x) = = Given a heat source f(x) 25°C/m² and the boundary conditions T(x = 0) = 40°C and T(x = 10) = 200°C, solve for the temperature distribution with (a) the shooting method and (b) the finite-difference method (Ax = 2).
Transcribed Image Text:Problem 3. An insulated heated rod with a uniform heat source can be modeled with the Poisson equation: d²T dx² = -f(x) = = Given a heat source f(x) 25°C/m² and the boundary conditions T(x = 0) = 40°C and T(x = 10) = 200°C, solve for the temperature distribution with (a) the shooting method and (b) the finite-difference method (Ax = 2).
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