\(\dot K (t) = sY(t) - \delta K(t)\), growth rate of capital (savings) minus depreciation (endogenous-- asking, what drives K?)
Dynamic solution
\(k_t^{1- \alpha} = [k_0^{1- \alpha} - \frac{s}{(n + g+ \delta)}]e^{-(1- \alpha)(n+g+ \alpha)t} + \frac{s}{(n+g+ \delta)}\)

RCK Model

New variables: 

Diamond Model

First-Order Linear Differential Equations with Constant Coefficient and Constant Term