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System of differential equations


Dear Sirs,

	When I want to eliminate a variable of a system of DEQ, I can't
eliminate its derivatives:

In[1]:=

Eliminate[{a y[z]-b s'[z]==0,d s[z]+f y'[z]+g s'[z]+h 
s''[z]==0},{y[z]}]

Out[1]:=

d s[z]== -g s'[z]-f y'[z]-h s''[z]

depends on y'[z] when in fact it is possible to eliminate it deriving
the first equation and putting them in the second one.

I will agree any help.

Jaume


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