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Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She finds that the substance enters the body in the bloodstream and is transferred between the blood and the bodily organs. The harmful substance is then expelled from the body through, for example, sweat. The amount of the substance in the blood, xmg, and the organs, ymg, at time / days, can be modelled using the differential equations dx -0.03x+0.01 +50 dr dy -=0.01.x -0.03y de b Hence find the general solutions to the system of differential equations in the form x= f(t) y=g(t)

Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She finds that the substance enters the body in the bloodstream and is transferred between the blood and the bodily organs. The harmful substance is then expelled from the body through, for example, sweat. The amount of the substance in the blood, xmg, and the organs, ymg, at time / days, can be modelled using the differential equations dx -0.03x+0.01 +50 dr dy -=0.01.x -0.03y de b Hence find the general solutions to the system of differential equations in the form x= f(t) y=g(t)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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7 Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She finds that the substance enters the body in the bloodstream and is transferred between the blood and the bodily organs. The harmful substance is then expelled from the body through, for example, sweat. The amount of the substance in the blood, xmg, and the organs, ymg, at time / days, can be modelled using the differential equations d.x -0.03x+0.01 +50 dr dy -=0.01.x -0.03y b Hence find the general solutions to the system of differential equations in the form x = f(t) y=g(t) bx=1875+Ae¯ + Be¬, y = 625 - Ae¬ir + Beri
Transcribed Image Text:7 Joanna is investigating how a harmful substance from pollution is absorbed by the human body. She finds that the substance enters the body in the bloodstream and is transferred between the blood and the bodily organs. The harmful substance is then expelled from the body through, for example, sweat. The amount of the substance in the blood, xmg, and the organs, ymg, at time / days, can be modelled using the differential equations d.x -0.03x+0.01 +50 dr dy -=0.01.x -0.03y b Hence find the general solutions to the system of differential equations in the form x = f(t) y=g(t) bx=1875+Ae¯ + Be¬, y = 625 - Ae¬ir + Beri
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