Personal Wealth Model using DE's

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The discussion revolves around developing a mathematical model for personal wealth using a differential equation. The equation dW/dt=(1-p)(s-n+rW) is established, where W represents wealth over time, and the variables s, n, r, and p denote salary, necessary expenses, interest rate, and luxury spending proportion, respectively. Participants clarify that the goal is to integrate this equation to derive the wealth function W(t), rather than differentiate it. The integration process involves recognizing the equation as first-order and linear, with suggestions to use separation of variables. Ultimately, the discussion concludes with the realization that initial conditions are necessary to solve for constants in the model, leading to a complete understanding of the wealth function.
  • #31
ok i understand that, we did that sort of thing in class last week. I will look at that... thanks
 
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  • #32
thanks for everybody that helped me, I finally solved it. if you could help with any assumptions that were made during the procedure it would be greatly appreciated. Also any strengths and limitations of either model.
 
  • #33
how do you delete a thread?
 
  • #34
Why do you want to delete it? You can request a PF mentor or admin to do so, but I doubt they'll agree, especially if there is nothing offensive about it. Even offensive and incendiary threads are locked, not deleted.
 
  • #35
ok i just didnt have a need and it was from an assignment
 

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