Lecture 1 Notes

3 order of a de order of the highest derivative in

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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)...
View Full Document

This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at UBC.

Ask a homework question - tutors are online