The discussion revolves around integrating the ordinary differential equation (ODE) given by dv/dt = g - kv/m. Participants are exploring methods to integrate this equation and are sharing their attempts and questions regarding the integration process.
The discussion includes various attempts at integration, with some participants expressing uncertainty about the integration process. Others have made progress and shared their results, indicating a mix of understanding and confusion about the steps involved.
Some participants are questioning the assumptions behind the integration techniques and whether certain substitutions are appropriate. There is a focus on the integration of expressions that involve logarithmic functions and exponential forms.
The left side can be rewritten as ##\frac{m \ dv}{mg - kv}##. There's a fairly obvious substitution you can use.Math10 said:Homework Statement
How to integrate dv/dt=g-kv/m?
Homework Equations
This is ODE.
The Attempt at a Solution
dv/(g-(kv/m))=dt
Now what? I don't know how to integrate the left side.
Math10 said:dv/(g-(kv/m))=dt
Now what? I don't know how to integrate the left side.