The discussion revolves around the properties of differential operators in the context of solving a system of differential equations. The original poster presents an equation involving a differential operator, specifically questioning the validity of dividing out the operator.
The discussion is ongoing, with participants providing clarifications regarding the properties of the differential operator and its implications for the original poster's approach. There is an acknowledgment of the misunderstanding, but no consensus has been reached on a revised method.
Participants note that there are functions satisfying the equation (D+2)Z=0 that are not equal to zero, which influences the validity of the original poster's proposed simplification.
mathnoobie said:Homework Statement
Hi, I am solving a system of differential equations and in one of my equations I have this,
(D+2)X+(D+2)Y=0 where X and Y are variables, D is my differential operator.
My question is, would it be mathematically correct to divide out (D+2)
and thus getting X+Y=0, X=-Y ?
mathnoobie said:Homework Statement
Hi, I am solving a system of differential equations and in one of my equations I have this,
(D+2)X+(D+2)Y=0 where X and Y are variables, D is my differential operator.
My question is, would it be mathematically correct to divide out (D+2)
and thus getting X+Y=0, X=-Y ?