# Homework 16 - BMED 2200 Modeling of Biomedical Systems...

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Unformatted text preview: BMED 2200 Modeling of Biomedical Systems Spring 2008 Homework 16 Due Monday April 14 1. For the lumped parameter dynamic system (circuit) shown below, determine the system of governing ODEs for the voltages e1 and e2 in terms of the supply voltage, e0, and the component parameters. Include the necessary initial conditions. 2. For the lumped parameter dynamic system (circuit) shown below, determine the system of governing ODEs for the voltages e1, e2 and e3 in terms of the supply voltage, e0, and the component parameters. Include the necessary initial conditions. Solution 1. For the 1 e node Eqn: 2 1 1 1 2 1 =--- =-- Λ Λ Ρ Ρ ι Ρ ε Ρ ε ε ι ι ι ······· (1), 1 where, L e e dt di L 2 1- = with initial condition ) ( L i For the 2 e node Eqn: 2 =- =- δτ δε Χ ι ι ι Λ χ Λ , with initial condition ) ( 2 e ······· (2) After the time deviation for Eqn(2) 2 2 2 2 1 =-- δτ ε δ Χ Λ ε ε ······· (3) From the Eqn (1) & (2), 2 2 1 1 1 =--- δτ δε...
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Homework 16 - BMED 2200 Modeling of Biomedical Systems...

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