- #1
swampwiz
- 571
- 83
For a DEQ like this:
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 ).
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 ).