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y = y( x )

a y'''' + b y''' + c y'' + d y' + f y = g( x )

where a, b, c, d, f are constants.

I would think it would be called a "constant coefficient DEQ", but a DEQ like this would also be called this

a y y'' + b ( y' )

^{2}= g( x )

but I am only interested in the term for a DEQ in which every term has a single factor that is a derivative.

If I were naming it, I would call it a "polydifferential" so that it would correspond with the term "polynomial", which of course is what the polydifferential would transform into after presuming the natural exponential function for y( x ).