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Unformatted text preview: a) dc dt =kc 3 (6) Separate c, t : d c c 3 =k dt (7) Integrate:1 2 c2 =kt + c 1 c2 = 2 kt + c 2 c = 1 √ 2 kt + c 2 Initial condition: c (0) = 2 : → c 2 = 1 4 → c = 1 √ 2 kt + 1 4 b) The equation is nonlinear, homogeneous, constant coeFcient. c) 1 √ 2 t * + 1 4 = 103 → q 2 t * + 1 4 = 10 3 → 2 t * + 1 4 = 10 6 t * = 499 , 999 . 875 2...
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 Fall '08
 Meiburg
 Numerical Analysis, Trigraph, Elementary algebra, dy =1−y dt

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