Can matlab solve these coupled odes?

[charlieryan]

Hi

I have a nastyish looking set of coupled ode's; can matlab solve them using an ode.. function? Here they are;
D/Dt(y_1)=f{y_2,D/Dx(Y_1),y_1, D/Dx(y_2)}
D/Dt(y_2)=f{y_1, y_2, y_3, y_4, D/Dt(y_1), D/Dx(y_1),D/Dx(y_2), D/Dx(y_3)}
D/Dt(y_3)= f{y_1, y_2, y_3, D/Dt(y_1), D/Dx(y_1),D/Dx(y_2), D/Dx(y_3), D/Dx(y_4)}
y_4=f(x,t)
My problem is that the equations involve differentiating with respect to 2 variables (x and t) - can matlab cope with this?
Thanks
Charlie