I am working on a population model using US population data. I have done a scatter plot, linear regression and now need to complete. This is what I have: y = .0287 - .0000917x (1/P) (dP/dt) = b + aP I have set this up to integrate and by keeping the variables a and b in the equation and using partial fractions get: ln |P/(b + aP)| = bt + bC ln |P/(.0287 - .0000917P)| = .0287t + .0287C at t = 0, P0 = 3.9, so C = 1/.0287 ln 137.6 ln |P/(.0287 - .0000917P)| = .0287t + ln 137.6 the take exponential of each side P/|.0287 - .0000917P| = 137.6e^.0287t This is where it gets confusing. I pulled a P out of the denominator to get only one P P/P|.0287/P - .0000917| = 137.6e^.0287t 1/|.0287/P - .0000917| = 137e^.0287t I think I should swap the denominator on the left with the numerator on the right but not sure if I can do this with "e". Any advice or suggestions would be appreciated. Thanks.