A model for tumor growth is given by the Gompertz equation (dV)/(dt) = a (lnb - lnV) V where a a

step 1 There is a question, let's say that a model for tumor growth is given by Gompertz equation dv by

A model for tumor growth is given by the Gompertz equation...

A model for tumor growth is given by the Gompertz equation $ \frac {dV}{dt} = a (\ln b - \ln V) V $ where $ a $ and $ b $ are positive constant and $ V $ is the volume of the tumor measured in $ mm^3. $ (a) Find a family of solution for tumor volume as a function of time. (b) Find the solution that has an initial tumor volume of $ V(0) = 1 mm^3. $

A model for tumor growth is given by the Gompertz equation
$ \frac {dV}{dt} = a (\ln b - \ln V) V $
where $ a $ and $ b $ are positive constant and $ V $ is the volume of the tumor measured in $ mm^3. $
(a) Find a family of solution for tumor volume as a function of time.
(b) Find the solution that has an initial tumor volume of $ V(0) = 1 mm^3. $

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