Classifying des section 13 ordinary differential

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Unformatted text preview: ntial 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 ￿ • Partial differential equation (PDE) - a DE that involves derivatives of a function with respect to more than 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: Beam equation: ￿ dP P = rP 1 − dt K d4 w EI 4 = q dx ￿ • Partial 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 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 ￿ • Part...
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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.

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