I have a simple ordinary differential equation
$\frac{dx}{dt}=f(x,t,p,T)$
$x(0) = x_0$, $x(T) = x_T$
where $p$ and $T$ are constant parameters. How do I compute $\frac{dx_T}{dT}$ ? Thanks!
NOTE: I know I can compute $\frac{dx_T}{dp}$ integrating the equation $\frac{d}{dt} (\frac{dx}{dp}) = \frac{df}{dx}\frac{dx}{dp}+\frac{df}{dp}$ from $t=0$ to $t=T$.