1. The problem statement, all variables and given/known data The question is discussing the growth rate of a tumor as it decreases in size (called the Gompertz equation: I am needing so SOLVE THE SEPERABLE DIFFERENTIAL EQUATION. 2. Relevant equations dx/dt = f(t)g(x) =(e^-t)(x(t)) x(o)=1 3. The attempt at a solution 1. im separating variables, (i think im making a mistake here) dx/dt=(e^-t)x(t) dx/x(t)=(e^-t)(dt) .. is that step right? 2. then i integrate both sides. integrating 1/x(t) on one side.. and integrating e^-t(dt) on the other.. i get ln|x|= -e^-t + c .. now im unsure as to how to solve the rest. am i solving for a variable for c?