DAE system - How to enter the algebraic formulas?

Hi Guys,

Can anyone explain me how should I translate a DAE system in order for ode15 to solve it?

ie I have a collection of equations (differential and algebraic) sth like the below:

(1): a*b*(dT/dt)=c(t)-b-d*(T^4)

(2): h=a*T+b

I have seen that the 'ode15' solver is suitable for such tasks but I can't understand how should I enter the algebraic formulas in it. I understand that for the differential equation I must bring it in the form dX/dt = F(X,t,t0) to look like an ODE but what about my algebraic ones?

-Note that I have seen the APM monitor package which works with open equation format (no formulation needed) but I need to be more flexible in my program (with several if's and lots of thermodynamic properties tables).

Any tip is welcome. Warm Regards,

Chris