Question: Is it possible?

I have a matrix containing numeric values of functions. Each column corresponds to a function. The first element of each column is a name of a function and following elements are numeric values of this function.

For example:

t      a         b     c         d
0    0.5      38    0       0.9e-5
1    5.2      45    0.1    1.2e-5
2    7.8      51    0.7    1.6e-5
3    12.3    74    0.8    2.1e-5
…    …        …      …        …

Then I receive an differential equation (for example):
dY/dt:=3.7*b*d*exp(-0.4/c)
which needs to be solved (integrated).

The integration can be carry out by iteration:
Y[i+1]:=Y[i]+0.5*((t[i+1]-t[i])*(Y[i]+Y[i+1])).

But the rub is that I don't know certainly what functions an equation contain in different cases. I can receive an arbitrary differential equation .
Is this problem solvable?