|L||A differential operator|
Returns such that the exponential solutions of L are described by
where and the are arbitrary constants.
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 .
We compute the exponential solutions of
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);