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Unformatted text preview: EI 4 = q
dx 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
EI 4 = q
dx r2
= rP − P
K < Nonlinear < Linear 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
EI 4 = q
dx
2 dy
t
+ y = sin(t)
dt r2
= rP − P
K < Nonlinear < Linear 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
EI 4 = q
dx
2 dy
t
+ y = sin(t)
dt r2
= rP − P
K < Nonlinear < Linear < Linear 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
EI 4 = q
dx
2 dy...
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This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at The University of British Columbia.
 Spring '13
 EricCytrynbaum
 Math, Differential Equations, Logic, Equations, Partial Differential Equations

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