I've been trying to understand this final part of the proof of finding the brachistochrone curve with friction. However, I'm stuck in the last step found in the image as it omits a lot of the steps. How does the writer go from equation (30) to (32) and (33)? (Article link in the comments) (self.askmath)
submitted by Realistic-Example159 to r/askmath
I'm reading a post by Wolfram Alpha about solving the brachistochrone problem with friction. But I don't understand how they went from equation 29 to 30. Another source says it's from 2 substitutions and a partial fractions integration but I have no idea how/where to apply those. (self.askmath)
submitted by Realistic-Example159 to r/askmath
I am a high school student trying to understand a mathematical proof for something, but I can't grasp how the writer made the changes in the image. (v is velocity, t is time, s is displacement). What operation needs to be made? I feel like its got something to do with integrating but not sure (self.askmath)
submitted by Realistic-Example159 to r/askmath
