In Trying to Model the Response to a Stimulus, Psychologists $r=s_{0}+k \ln \left|\frac{r_{0}}{r}\right|$

Multiple Choice

In trying to model the response to a stimulus, psychologists use the Weber Fechner Law.This law states that the rate of change of a response, r, with respect to a stimulus, s, is inversely proportional to the stimulus.Model this law as a differential equation.What is the solution to the differential equation with the initial condition that r(s₀) = r₀ for some initial stimulus, s₀?

A) $r=s_{0}+k \ln \left|\frac{r_{0}}{r}\right|$
B) $r=s_{0}+k \ln \left|\frac{r}{r_{0}}\right|$
C) $r=r_{0}+k \ln \left|\frac{s_{0}}{s}\right|$
D) $r=r_{0}+k \ln \left|\frac{s}{s_{0}}\right|$