Differential Equations Lecture Work Solutions 215

Differential Equations Lecture Work Solutions 215 - + 7( u...

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1f. u xx +5 u xy +4 u yy +7 u y =s in x A =1 B =5 C =4 4 =25 16 = 9 > 0 hyperbolic dy dx = 5 ± 3 2 % 4 1 ξ = y 4 x = 4 ξ y =1 ξ xx = ξ xy = ξ yy =0 η = y x = 1 η y =1 η xx = η xy = η yy =0 16 u ξξ +2 u ξη · 4+ u ηη +5( 4 u ξξ + u ξη ( 4 1) + u ηη ( 1)) +4 ( u ξξ +2 u ξη + u ηη )+7( u ξ + u η )= s in x 9 u ξη
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Unformatted text preview: + 7( u + u ) = sin x u = 7 9 ( u + u ) 1 9 sin x = 3 x x = 3 u = 7 9 ( u + u ) 1 9 sin 3 215...
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