Analytical fit and parameter extraction and ODE

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Hi,
I have a plot of x,y. I know the function f'(x,y) e.g. dy/dx = A.(B-x).exp(-Cx/D) + E.x I also know a relationship between the constants D = A.B/(A+EexpC)
As an input I have a plot of y vs x. How do I obtain
  • a good fit to my plot ?
  • Values of Parameters: A,B and C corresponding to the best fit ?

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