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- Homework Statement
- See picture below

- Relevant Equations
- Dimensional analysis

Solving DE

The top most 2nd order non-linear DE is the one that has to be solved. Below is the solution. This problem is from Morin's Classical Mechanics.

May I know how he could guess that r = Agt^2?

Firstly, why must g tilda be a variable within r? I do not understand what he meant by 'parameter'.

Secondly, how was it deduced that A must be a constant with no units? Aren't there many constants with units?

Thanks for all your help.