Number of parameters for a nonlinear differential equation

  1. Take for example a system
    [itex]\frac{dx_i}{dt}[/itex]=(x_i,t,a,b,....) i-number of state equations.
    What would be the maximum number of parameters permitted for this system of non-linear differential equations?

    Is it finally determined by the solution space?Is there a criteria for number of parameters in a system of differential equations?
  2. jcsd
  3. HallsofIvy

    HallsofIvy 41,060
    Staff Emeritus
    Science Advisor

    Perhaps I am misundersanding your question. You can have any number of parameters in a differential equation.
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