MATH 3331—Ordinary Differential Equations

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MATH 3331—Ordinary Differential Equations Weijiu Liu Department of Mathematics University of Central Arkansas

Why ODEs? 11/20/2018

Mixture Problems Governing equation: where x denotes the amount of salt in the tank and c is the concentration of the salt in the inflow. 11/20/2018

m: the mass of the object. k: the stiffness of the spring. Mass-spring Systems Governing equation: m: the mass of the object. k: the stiffness of the spring. f: the external force acting on the object. 11/20/2018

Population growth Logistic population model Where p denotes the population at time t and a, b Are positive constants. 11/20/2018

Motion of Fluid Particles Velocity: Governing equations: 11/20/2018

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