Starting out in pde

  • Thread starter imranq
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  • #1
imranq
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Homework Statement


Hey I'm trying to get a sense of this problem, just starting pde class:

[tex]au_x+bu_y+cu=0[/tex]


Homework Equations





The Attempt at a Solution


Dunno what to do with that last term
 

Answers and Replies

  • #2
fzero
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Have you tried separation of variables?
 
  • #3
hunt_mat
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This equation can be solved via the method of characteristics.
 
  • #4
imranq
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what is the method of characteristics?
 
  • #5
hunt_mat
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This is something which should be covered in your course or alternatively you can google it ot it should be in any good book on PDEs.
 
  • #6
hunt_mat
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The idea is basically to view the solution of the PDE as a surface [tex]u=u(x,y)[/tex] and the equation is in fact the dot product between the normal at that point and the tangent plane. You just integrate up the equations for the tangent plane basically.
 

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