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(A) ﬁrst order
(B) second order
(C) third order
(D) fourth order Classifying DEs (Section 1.3)
• Linearity  a DE is linear if it is linear in the unknown function and all its
derivatives.
• (A) Linear or (B) nonlinear: Classifying DEs (Section 1.3)
• Linearity  a DE is linear if it is linear in the unknown function and all its
derivatives.
• (A) Linear or (B) nonlinear: dP
= rP
dt P
1−
K Classifying DEs (Section 1.3)
• Linearity  a DE is linear if it is linear in the unknown function and all its
derivatives.
• (A) Linear or (B) nonlinear: dP
= rP
dt P
1−
K r2
= rP − P
K Classifying DEs (Section 1.3)
• Linearity  a DE is linear if it is linear in the unknown function and all its
derivatives.
• (A) Linear or (B) nonlinear: dP
= rP
dt P
1−
K r2
= rP − P
K < Nonlinear Classifying DEs (Section 1.3)
• Linearity  a DE is linear if it is linear in the unknown function and all its
derivatives.
• (A) Linear or (B) nonlinear: dP
= rP
dt P
1−
K d4 w...
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 Spring '13
 EricCytrynbaum
 Math, Differential Equations, Logic, Equations, Partial Differential Equations

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