# Two differential equations -- Need to find steady state values

1. May 20, 2015

### beaf123

1. The problem statement, all variables and given/known data

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 cant get it to work.
2. Relevant equations

3. The attempt at a solution

2. May 25, 2015