- #1
bitrex
- 193
- 0
Homework Statement
Hi all. I have to solve the differential equation [tex]\frac{dv}{dt} = g(1 - \frac{\rho}{g}v^2)[/tex].
The Attempt at a Solution
Apparently the solution should involve the inverse hyperbolic tangent function - with the equation in this form it should just be separable, correct? However, when separating variables I have to integrate the function [tex]\frac{dv}{1-\frac{\rho}{g}v^2}[/tex] which I am not sure how to go about. I think a substitution of some kind? Any tips would be appreciated.