# solving 1st order differential equation.

$$\frac{\dot{c_t}}{c_t}=f'(k_t)-\delta-\sigma$$ $$\dot k_t =f(k_t)-c_t-(n+\delta)k_t$$ $$(\delta,\,\sigma \text{ and } n \text{ are parameters}, \, c_t=c(t),\, k_t=k(t))$$

How can I solve this differential equation?

Is it okay to solve the equations with multiplying integrating factor in both side? $\frac{dy}{dt}+p(t)y=q(t)$