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Partial differential eqn

  1. Nov 5, 2009 #1
    Consider the partial differential equation 2dz/dx-dz/dy=0
    Show that if f(u) is a differential function of one variable, then the partial differential equation is satisfied by z=f(x+2y)




    3. The attempt at a solution: Change of variables?????? No idea :S
     
  2. jcsd
  3. Nov 5, 2009 #2

    HallsofIvy

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    Here's a suggestion: DO WHAT IT SAYS! If z= f(x+ 2y), what is [itex]\partial f/\partial x[/itex]? What is [itex]\partial f/\partial y[/itex]? Let u= x+2y and use the chain rule.
     
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