Differential Equations Lecture Work Solutions 214

Differential - 1e 2uxx 4uxy 2uyy 3u = 0 B = 4 A=C=2 = 16 16 = 0 parabolic 4 0 dy = = 1 dx 4 dy = dx = y x x = 1 y = 1 xx = xy = yy = 0 =x x = 1 y =

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1e. 2 u xx 4 u xy +2 u yy +3 u =0 A = C =2 B = 4 4 =16 16 = 0 parabolic dy dx = 4 ± 0 4 = 1 dy = dx ξ = y + x =1 ξ y ξ xx = ξ xy = ξ η = x η y η xx = η xy = η 2( u ξξ u ξη + u ηη ) 4( u + u )+2 u u
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

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