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

2. Why ODEs?
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3. 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.
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4. 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.
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5. Population growth Logistic population model
Where p denotes the population at time t and a, b
Are positive constants.
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6. Motion of Fluid Particles
Velocity:
Governing equations:
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7. Coffee in Water
Convection-diffusion equation:
coffee
water
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