Differential Equations Lecture Work Solutions 213

Differential Equations Lecture Work Solutions 213 - 2 u β...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
1d. u xx +2 u xy +3 u yy +4 u x +5 u y + u = e x A =1 B =2 C =3 4 =4 12 = 8 < 0 elliptic dy dx = 2 ± 8 2 =1 ± i 2 y =(1 ± i 2) x + C ξ = y (1 + i 2) x η = y (1 i 2) x α = y x β = 2 x x = β 2 α x = 1 α y =1 α xx = α xy = α yy =0 β x = 2 β y =0 β xx = β xy = β yy =0 u αα ( 1) 2 +2 u αβ · 2+ u ββ · 2 +2 u αα + u αβ ( 2) +3 u αα +4 u α
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2 u β + 5 u α + u = e x 2 u α α + 2 u β β + u α − 4 √ 2 u β + u = e x u α α + u β β = − 1 2 u α + 2 √ 2 u β − 1 2 u + 1 2 e − β/ √ 2 213...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online