Lecture 1 Notes

# 3 order of a de order of the highest derivative in

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Unformatted text preview: ial differential equation (PDE) - a DE that involves derivatives of a function with respect to more than one independent variable. ∂u ∂2u Heat/diffusion equation: =D 2 ∂t ∂x Wave equation: ∂2u ∂2u 2 =c 2 ∂t ∂ x2 Classifying DEs (Section 1.3) Classifying DEs (Section 1.3) • Order of a DE - order of the highest derivative in the equation. Classifying DEs (Section 1.3) • Order of a DE - order of the highest derivative in the equation. 2 • e.g. Heat/diffusion equation: ∂u ∂u =D 2 ∂t ∂x Classifying DEs (Section 1.3) • Order of a DE - order of the highest derivative in the equation. 2 • e.g. Heat/diffusion equation: ∂u ∂u =D 2 ∂t ∂x • First order in time (t), second order in space (x). Classifying DEs (Section 1.3) • Order of a DE - order of the highest derivative in the equation. 2 • e.g. Heat/diffusion equation: ∂u ∂u =D 2 ∂t ∂x • First order in time (t), second order in space (x). • Order (in time): Logistic equation: dP = rP dt ￿ P 1− K (A) ﬁrst order ￿ (B) second order (C)...
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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 UBC.

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