Solving DAE using matlab

Dear All:

I am trying to solve this DAE using matlab without geting any decent result. Can someone help me ?

Let y be a 6 x 1 vector of functions of time only. Indeed the coefficient of my differential system are constant which is supposed to help. My differential system writes:

y’ = f(y,t)

and my algebraic equations:

0 = g(y,t)

where g is a 9 x 1 vector. f and g depend upon time only through y.

initial condition is: y(0) = zeros(6,1).

How can I solve this in matlab ?

Thank you in advance.