Differential Equations Lecture Work Solutions 183

Differential Equations Lecture Work Solutions 183 - For the...

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For the elliptic case x> 0 dy dx = ± i x dy = ± i dx x y = ± i 2 xdx + c ξ = y 2 i x η = y 2 i x α = 1 2 ( ξ + η )= y β = 1 2 i ( ξ η )= 2 x u xx = u αα α 2 x +2 u αβ α x β x + u ββ β 2 x + u α α xx + u β β xx u yy = u αα α 2 y +2 u αβ α y β y + u ββ β 2 + u α α yy + u β β yy α x =0; α y =1; α xx = α yy =0 β x = 2 · 1 2 x 1 / 2 = x 1 / 2 ; β y =0; β xx = 1 2 x 3 / 2 ; β yy =0 u xx = u ββ ( x 1 / 2 ) 2 + 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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