- #1
UchihaClan13
- 145
- 12
Homework Statement
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
Homework Equations
dv/dt=v*(dv/dx)
V=dx/dt
A=dv/dt=d^2x/dt^2
The Attempt at a Solution
I assumed 'a' as a function of g
That is a=kg for some constant k
And proceeded
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!
UchihaClan13[/B]