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Are these partial or ordinary differential equations?

  1. Jan 3, 2012 #1
    1. The problem statement, all variables and given/known data

    Consider the following system of (first order) differential equations:
    [itex]\dot{x}=f(t_1,x,y,z) [/itex]
    [itex]\dot{y}=g(t_2,x,y,z) [/itex]
    [itex]\dot{z}=h(t_3,x,y,z) [/itex]

    where [itex]\dot{x}=\frac{\partial x}{\partial t_1}[/itex], [itex]\dot{y}=\frac{\partial y}{\partial t_2}[/itex], and [itex]\dot{z}=\frac{\partial z}{\partial t_3}[/itex].

    2. Relevant equations

    Is this a system of partial differential equations?

    3. The attempt at a solution

    I believe it is because there are more than one 'independent' variable. But I am not quite sure of this...
     
  2. jcsd
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