Hello. If this question belongs in another forum, I apologize.

When solving 'n-1' homogeneous equations in 'n' unknowns, is it permissible to use

differential operators in the matrix elements?

For example, when trying to solve :

i = i1 + i2

i = Cv' - Cx'

i1 = x/R

i2 = i3 + i4

i2 = Cx' - Cy'

i3 = y/R

i4 = Cy' - Cu'

i4 = u/R

The variables i, i1, i2, i3 and i4 are instantaneous currents {i.e., i = i(t)}.

The variables x, y, u and v are instantaneous voltages.

The prime marks indicate first derivatives.

I was thinking about putting these equations in row-echelon form, and then

performing reductions. For the primed variables, I was thinking about using

the operator D = d/dt.

Can I do this, being aware that I treat the operator algebraically in the columns,

but use it operationally row-wise?

Thanks!!