Which of the following is a difference of two squares? A. a2 + b2
C. (a - b)2
B. a2 - 62
D. -(ab)

Step-by-step explanation:

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what?

Step-by-step explanation:

Consider diffusion inside an enclosed circular tube. Let its length (circumference) be 2l. Let x denote the arc length parameter where −l ≤ x ≤ l. Then the concentration of the diffusing substance satisfies ut = kuxx for − l ≤ x ≤ l u(−l, t) = u(l, t) and ux (−l, t) = ux (l, t). These are called periodic boundary conditions. (a) Show that the eigenvalues are λ = (nπ/l) 2 for n = 0, 1, 2, 3,... . (b) Show that the concentration is u(x, t) = 1 2 A0 +[infinity] n=1 An cos nπx l + Bn sin nπx l e−n2π2kt/l 2 .