Differential Equations Lecture Work Solutions 222

Differential Equations Lecture Work Solutions 222 - u ( x,...

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1a. u xx 1 c 2 u yy =0 A =1 B =0 C = 1 c 2 4 = 4 c 2 > 0 hyperbolic dy dx = ± 2 c 2 = ± 1 c y = ± 1 c x + K ξ = y + 1 c x η = y 1 c x Canonical form: u ξη =0 The solution is: u = f ( ξ )+ g ( η ) Substitute for ξ and η to get the solution in the original domain:
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Unformatted text preview: u ( x, y ) = f ( y + 1 c x ) + g ( y 1 c x ) 222...
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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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