xg=x*(dv/dt)+v^2 is a differential equation
Which has a solution of the form v=at
Where a is a constant.Find a
The Attempt at a Solution
I assumed 'a' as a function of g
That is a=kg for some constant k
I did get the correct answer a=g/3
My question is since both a and g are accelerations and constants
Is it correct to assume one as a function of the other?
For 2 arbitrary constants a and b, we have (a=kb) for another constant 'k' where a and b are never equal to zero at the same time
I hope my approach is correct
Any confirmations and insights are much appreciated!