Usage
decompose L
Parameter | Type | Description |
---|---|---|
L | A differential operator of order at most 3 |
Description
Returns one of the following possible results:
Example
We decompose the differential equation
as follows:
1 --> L := D^3-(x^2+3)/x*D^2-(2*x^4-x^2-3)/x^2*D + 2*x^3; 2 --> v := decompose(L); 3 --> tex(v);
This means that the operator of (2) is a least common left multiple of , and where and are the two roots of . Since and , our operator is a least common left multiple of , and .
Usage within MAPLE
> L := D^3-(x^2+3)/x*D^2-(2*x^4-x^2-3)/x^2*D + 2*x^3; > decompose(L, D, x);
See Also
factor,Loewy