What Are the Key Equations in Shock Wave Analysis?

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DifferentialGalois
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Homework Statement
I don't understand anything they do after 1:26 constructing the first diagram ("the zooming in part") and devising the integral.
Relevant Equations
provided here from 1:26 ONWARDS: https://www.youtube.com/watch?v=er512TwsxNM&t=86s
the attempted is the above ex. i needa justify why and figure out the reason behind those relevant equations.
 
on Phys.org
Are you puzzled at the way the left and right tails become horizontal?
 
haruspex said:
Are you puzzled at the way the left and right tails become horizontal?
puzzled at everything. may someone start from scratch
 
If most of the video is puzzling, maybe is not the right point for you to start?
 
nasu said:
If most of the video is puzzling, maybe is not the right point for you to start?
well most of it requires intuition, no?
 
I've only looked at the zooming in part so far, and might not get further today, but it does not give me great confidence in the tutor.
 
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