1. The problem statement, all variables and given/known data Hello, I am wondering if someone can look at the following: suppose i'm given an initial value problem: dy/dt = ty(4-y)/3 with y(0) = a. So, if I separable the variables, i would get: dy/4(4-y) = t/3dt and I would get by partial fractions (1/4)*lny-(1/4)ln(4-y) = t^2/6 + C (1/4)*ln(y/4-y) = t^2/6+C or (y/4-y) = e^((2/3)t^2 +4C) so can anyone tell me how I would determine how the value of the solution would vary depending on the initial value a? in other words, how could i get this into a nice form y = .... Thanks very much.