Using MATLAB to Solve ODEs – Matrix, Symbolic, and NumericApproachesProf. Matthew...

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Using MATLAB to Solve ODEs – Matrix, Symbolic, and Numeric
Approaches
Prof. Matthew Leinewebe
Biomedical Engineering Department
San Jose State University
Table of Contents
Introduction........................................................................................................................................... XXXXXXXXXX1
Solving Systems of Nonhomogeneous ODEs Using MATLAB............................................................ XXXXXXXXXX2
Side Note:......................................................................................................................................... XXXXXXXXXX4
Math Exercise:.............................................................................................................................. XXXXXXXXXX4
Steps to Solve a Homogeneous System of ODEs:......................................................................... XXXXXXXXXX5
Nonhomogeneous Systems of ODEs – Example: Time-Release Capsules & Other “Smart Drugs” XXXXXXXXXX5
Using MATLAB to Solve a System of Nonhomogeneous ODEs - Linear Alge
a Approach............... XXXXXXXXXX6
Eigenvalue/vector Activities.............................................................................................................. XXXXXXXXXX7
Activity 1........................................................................................................................................ XXXXXXXXXX7
Activity 2........................................................................................................................................ XXXXXXXXXX7
Activity 3........................................................................................................................................ XXXXXXXXXX7
Activity 4........................................................................................................................................ XXXXXXXXXX7
Activity 5........................................................................................................................................ XXXXXXXXXX8
Mid-Lab Question 1.......................................................................................................................... XXXXXXXXXX9
Using MATLAB to Solve a System of Nonhomogeneous ODEs – Symbolic Solver Approach............ XXXXXXXXXX9
Activity 6............................................................................................................................

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Sandeep Kumar · Accepted Answer

ka = 0.025;
kd = 0.005;
km = 0.015;
D0 = 50;
r = 0.1151;
A = gallery('lehmer',4)
e = eig(A)
D = eig(A,'matrix')
[V,D] = eig(A)
A*V - V*D

Using MATLAB to Solve ODEs – Matrix, Symbolic, and Numeric Approaches Prof. Matthew Leineweber Biomedical Engineering Department San Jose State University Table of Contents...

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