{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Differential Equations Lecture Work Solutions 176

Differential Equations Lecture Work Solutions 176 - 6...

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

View Full Document Right Arrow Icon
6 Classification and Characteristics 6.1 Physical Classification 6.2 Classification of Linear Second Order PDEs Problems 1. Classify each of the following as hyperbolic, parabolic or elliptic at every point ( x, y ) of the domain a. x u xx + u yy = x 2 b. x 2 u xx 2 xy u xy + y 2 u yy = e x c. e x u xx + e y u yy = u d. u xx + u xy xu yy = 0 in the left half plane ( x 0) e. x 2 u xx + 2 xyu xy + y 2 u yy + xyu x + y 2 u y = 0 f. u xx + xu yy = 0 (Tricomi equation) 2. Classify each of the following constant coefficient equations a. 4 u xx + 5 u xy + u yy + u x + u
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
  • Fall '08
  • BELL,D
  • Partial differential equation, left half plane, Order PDEs, Constant Coefficient Equations, linear second order, uyy + ux

{[ snackBarMessage ]}