Differential Equations (2nd-order, general solution, staionary solution, saddle point, stable branch)

1st year undergraduate 

textbook for reference:
Mathematics for economists: An introductory textbook (new edition): An Introductory Textbook

Differential Equations
Lamedevil666 Lamedevil666
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Matchmaticians Differential Equations (2nd-order, general solution, staionary solution, saddle point, stable branch) File #1 File #1 (jpg)
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  • Erdos Erdos
    0

    This is a very time-consuming question with several parts. The bounty is a bit low.

    • Lamedevil666 Lamedevil666
      0

      Hi, how much is reasonable for you? Apologies, I have no gauge for setting the bounty

    • Mathe Mathe
      +1

      I'd say $35

  • Erdos Erdos
    +1

    Think about how much time one may need to spend writing a detailed solution and what would be a fair hourly rate for such skilled individual. It will give you a good idea :)

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Mathe Mathe
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  • Lamedevil666 Lamedevil666
    0

    Hi, would you have any idea how to sketch the phase diagram?

    • Mathe Mathe
      0

      I will make the diagram! I forgot to include it!

  • Lamedevil666 Lamedevil666
    0

    Oh I should have waited for your response haha, but I've submitted my assignment already and tried sketching my own after watching a youtube tutorial, hopefully it's correct! (please still upload yours so i can cross-check!) But also thank you for the solutions to the questions! It was overall really clear and easy to follow. I think I just got a bit lost during part b cuz I didn't realise you found a Jacobian matrix first in one of the steps.

The answer is accepted.
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