The discussion revolves around solving an autonomous differential equation of the form dy/dt = 0.5(100 - y) with the initial condition y(0) = 20. Participants are exploring the implications of the equation and the initial condition.
The discussion is ongoing, with participants questioning the steps taken to arrive at the general solution and expressing confusion about the absence of the variable t in the context of applying the initial condition. There is a recognition of potential errors in the reasoning process.
Participants note the challenge of applying the initial condition due to the lack of a time variable in the derived expression, which raises questions about the correctness of the solution approach.
n.a.s.h said:Homework Statement
solve the following...
dy/dt= 0.5(100-y) with initial condition:y(0)=20
Homework Equations
The Attempt at a Solution
i found the general equation to be I=0.5Ln |100-y|+c
but I am stuck as to what to do with the initial condition...
n.a.s.h said:yes i think its the general equation...