How to Isolate dx/dt from d(xy)/dt and dy/dt?

[Timeforheroes0]

Hey guys,
Just a simple question to see if I'm going insane. So say I have an expression for:
\frac{dxy}{dt} and an expression for \frac{dy}{dt}, how to I go about isolating an expression for just \frac{dx}{dt}
I have tried using the product rule but it doesn't work for what I want. I know this is a very simple question but I haven't done calculus in a long time!

 

[ShayanJ]

<br /> \frac{d(xy)}{dt}=\frac{dx}{dt}y+x\frac{dy}{dt}\Rightarrow \frac{dx}{dt}=\frac{1}{y}(\frac{d(xy)}{dt}-x\frac{dy}{dt})<br />

 

[Timeforheroes0]

Yeah that's what I did.. I'm doing this in an ode solver in MATLAB so obviously my code is wrong elsewhere.
thanks!