Number of parameters for a nonlinear differential equation

marellasunny
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Take for example a system
\frac{dx_i}{dt}=(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?
 
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Perhaps I am misundersanding your question. You can have any number of parameters in a differential equation.
 

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