Lecture 1 Notes

2 eg heatdiffusion equation u u d 2 t x first order

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Unformatted text preview: third order (D) fourth order 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). Beam equation: d4 w EI 4 = q dx • Order (in space): (A) first order (B) second order (C) third order (D) fourth order 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). Wave equation: 2 2 ∂u 2∂ u =c 2 ∂t ∂ x2 • Order (in time): (A) first order (B) second order (C) third order (D) fourth order 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). Wave equation: 2 2 ∂u 2∂ u =c 2 ∂t ∂ x2 • Order (in space...
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