- #1
tomwilliam
- 145
- 2
Homework Statement
v(dv/dx)= k(2v+1)
Find an explicit solution for x in terms of v.
Homework Equations
v=speed, x=distance, k=constant
The Attempt at a Solution
I can solve this by dividing by (2v+1), then integrating with respect to x using the chain rule.
I believe there is another method, though, involving substitution of 2v+1=u
so:
v(dv/dx)= ku
Now I'm not sure how (or even if it's possible) to integrate ku with respect to x, as it is a function of v, not x. Can someone point me in the right direction?