Usage
factor L
Parameter | Type | Description |
---|---|---|
L | A differential operator of order at most 3 |
Description
Returns one of the following possible results:
m | L |
0 | LeftLcm() |
1 | |
2 | LeftLcm() |
3 | LeftLcm() |
4 | LeftLcm() |
m | L |
-1 | LeftLcm( ) |
-4 | LeftLcm( ) |
-5 | LeftLcm( ) |
Example
We factor the differential equation
as follows:
1 --> L := D^3-x*D^2+(-x^2+1)*D-3*x+x^3; 2 --> v := factor(L); 3 --> tex(v);
This means that the operator of (5) is a least common left multiple of and of the product , which itself is not a least common left multiple of irreducible operators.
Usage within MAPLE
> L := D^3-x*D^2+(-x^2+1)*D-3*x+x^3; > dfactor(L, D, x);
See Also
decompose,Loewy