1. ## Integration Problem

I was doing a physics exercise and came across this:

-14,3*dv/v = dt => integrating => 14,3*ln(vo/v) = t

could anyone tell me how this was done?

2. ## Re: Integration Problem

Originally Posted by infected36
I was doing a physics exercise and came across this:

-14,3*dv/v = dt => integrating => 14,3*ln(vo/v) = t

could anyone tell me how this was done?

This uses the solution of ordinary differential equations by seperation of variables of an ODE of the form:$\frac{dv}{dt}=f(v)g(t)$. It is usually written in the form:
$$\int_{\nu=0}^{v(t)} 1/f(\nu)\; dv=\int_{\tau=0}^t g(\tau)\; d\tau$$