Modeling with First Order Equations
Mathematical models characterize physical systems, often using differential equations.
Model Construction: Translating physical situation into mathematical terms. Clearly state physical principles
believed to govern process. Differential equation is a mathematical model of process, typically an approximation.
Analysis of Model: Solving equations or obtaining qualitative understanding of solution. May simplify model,
as long as physical essentials are preserved.
Comparison with Experiment or Observation: Verifies solution or suggests refinement of model.
Keywords: tank, model, differential equation, first-order, toxic waste, incoming
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