# Math Help - Proof(Rate Of)

1. ## Proof(Rate Of)

Help

Thank you

Help

Thank you
Let $a(t), b(t),$ and $c(t)$ be the mass of the three componds present at time t.
Translating the givens into a set of equations gives (hopefully correctly this time):

$\dot c(t)=\alpha\ a(t).b(t)$ for some rate constant $\alpha$, which we will determin later
$c(t)=90-b(t)$
$c(t)=(50-a(t))*2$

Which may be manipulated to give:

$\dot c(t)=\alpha\ (50-c(t)/2)(90-c(t))$,

which is an ODE of variables seperable type.

(I may continue this when I have a bit more time)

RonL