Differential Equations Lecture Work Solutions 210

Differential Equations Lecture Work Solutions 210 - 1c....

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

View Full Document Right Arrow Icon
1c. 3 u xx +10 u xu +3 u yy = x +1 A = C =3 B =10 4 = 100 36 = 64 > 0 hyperbolic dy dx = 10 ± 8 6 % 3 & 1 / 3 ξ = y 3 = y 1 3 x ξ x = 3 ξ y =1 ξ xx =0 ξ xy ξ η x = 1 3 η y η xx η xy η 3 u ξξ ( 3) 2 +2 u ξη ( 3) 1 3 ± + u ηη 1 3 ± 2 ! u ( 3) + u 3 1 3 ± + u 1 3 ±± +3( u u + u )= x 64 3 u = x ξ = y 3 x η = y 1 3 x ξ η = 8 3 x x = 3 8 ( η ξ )
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

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.

Ask a homework question - tutors are online