Usage
rightGcd(A, B)
rightGcd(p, q)
Parameter | Type | Description |
---|---|---|
A, B |
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Differential operator |
p, q |
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Polynomials |
Returns
rightGcd(A, B) returnssuch that
,
, and every other exact right divisor of
and
is a right divisor of
, while rightGcd(p, q) returns
.
Example
To look for closed-form common solutions of the differential equations
and
we look for solutions of their greatest right common divisor as follows:
1 --> L1 := D^3 - D^2 - x*D + x; 2 --> L2 := D^2 + (x-1)*D - x; 3 --> L := rightGcd(L1, L2); 4 --> tex(L);
This means that the solutions of the system (8)-(9) are of the formfor any constant
.
See Also
leftGcd, leftLcm, rightLcm