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Two differential equations -- Need to find steady state values

  1. May 20, 2015 #1
    1. The problem statement, all variables and given/known data

    upload_2015-5-20_14-52-11.png



    upload_2015-5-20_14-53-14.png

    I have found the two equations describing the system. They are.

    ċ(t) = 1/θ [ f`(k(t)) -(n + δ + β)]c(t)



    k̇(t) =f(k(t) - (n +d)k(t) - c(t)



    Plugging in the numbers:



    ċ(t) = 2 [ 0,25k^(-0,25) -(0,10)]c(t)



    k̇(t) =k^0,25 - (0,6)k(t) - c(t)



    Since ċ(t) and k̇(t) =0 in steady state ⇒



    2 [ 0,25k^(-0,25) -(0,10)]c(t)=0



    k̇(t) =k^0,25 - (0,6)k(t) - c(t)=0



    So have do I solve this for K* and C*?



    I have tried some algebra, but can`t get it to work.
    2. Relevant equations


    3. The attempt at a solution
     
  2. jcsd
  3. May 25, 2015 #2
    Thanks for the post! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
     
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