Usage
exponentialSolutions L
Parameter | Type | Description |
---|---|---|
L |
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A differential operator |
Returns
Returnssuch that the exponential solutions of L are described by
whereand the
are arbitrary constants.
Remarks
exponentialSolutions returns only the solutions that are exponential over, i.e. the solutions
such that
. It does not return any eventual solution that is exponential over
but not over
.
Example
We compute the exponential solutions of
as follows:
1 --> L := D^3-(1+x^3)/x*D^2+(-3*x-2*x^2)*D+2*x^4; 2 --> e := exponentialSolutions(L); 3 --> tex(e);
This means that the exponential solutions of (4) form a one-dimensional vector space generated by.
Usage within MAPLE
> L := D^3-(1+x^3)/x*D^2+(-3*x-2*x^2)*D+2*x^4; > exponentialSolutions(L, D, x);
See Also
radicalSolutions