ode03 - Mathematical Modeling Using Differential Equations...

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First Prev Next Last Go Back Full Screen Close Quit Mathematical Modeling Using Differential Equations: Models from Physical Laws and Conservation Laws September 25, 2008
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First Prev Next Last Go Back Full Screen Close Quit Mathematical modeling is a basic tool for scientists and engineers in doing their researches and projects . And we talk about the general process of modeling which uses ODE’s. 1. Formulating a model : using differential equa- tions; 2. Analyzing the model : solving the established differential equations; 3. Interpreting the phenomena : understanding the solution behavior.
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First Prev Next Last Go Back Full Screen Close Quit ODE models from physical laws . Look at the follow- ing examples . 1. Vertical motion(Newton’s law). Without air re- sistance : v 0 = - g With air resistance : v 0 = - g - kv / m 2. Circuits(Kirchhoff’s voltage law: the sum of the voltage changes around a closed loop is zero). The
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This note was uploaded on 01/28/2011 for the course MATH 150 taught by Professor T.qian during the Spring '09 term at HKUST.

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ode03 - Mathematical Modeling Using Differential Equations...

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