ECE602 BME I

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• ECE602 BME I
• Ordinary Differential Equations in Biomedical
  Engineering (contd)

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Nonlinear ODEs
Runge - Kutta of order 4 ( ) Single ODE
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Nonlinear ODEs
Runge - Kutta of order 4 ( )
Simultaneous ODEs
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Steady state Stability
Stability Analysis Base on the Eigenvalues of the
Jacobian Matrix
Case Real Part Imaginary Part Stability
1 All negative Zero Stable, nonoscillatory
2 All negative Nonzero Stable, oscillatory
3 All positive Zero Unstable, nonoscillatory
4 All positive Nonzero Unstable, oscillatory
5 Positive negative Zero Metastable, saddle point
6 Zero Nonzero Neutrally stable, oscillatory
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Steady state Stability