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Unformatted text preview: 6371 km ≈ 6411 km so not bad.
• k is not constant either (depends on air density)  this is signiﬁcant! A bacterial cell division regulator
• Two interacting bacterial proteins that undergo complicated dynamics.
• Differential equation model help understand how they work. Experiment Model
∂u
∂2u
= u − uv + D 2
∂t
∂x
∂v
∂2v
= uv − v + D 2
∂t
∂x Classifying DEs (Section 1.3) Classifying DEs (Section 1.3)
• Ordinary differential equation (ODE)  a DE that involves derivatives of a
function with respect to only one independent variable. Classifying DEs (Section 1.3)
• Ordinary differential equation (ODE)  a DE that involves derivatives of a
function with respect to only one independent variable. Logistic equation: dP
= rP
dt P
1−
K Classifying DEs (Section 1.3)
• Ordinary differential equation (ODE)  a DE that involves derivatives of a
function with respect to only one independent variable. Logistic equation:
Beam equation: dP
P
= rP 1 −
dt
K
d4 w
EI 4 = q
dx Classifying DEs (Section 1.3)
• Ordinary differe...
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 Spring '13
 EricCytrynbaum
 Math, Differential Equations, Logic, Equations, Partial Differential Equations

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