makeIntegral

Usage

makeIntegral L
makeIntegral w

Parameter	Type	Description
L	$\mathbbm{Q}[x,\frac d{dx}]$	A differential operator
w	$(\mathbbm{Q}(x)[u])^n$	A vector of Darboux curves

Returns

makeIntegral L returns the primitive multiple of $L$ in $\mathbbm{Q}[x,\frac d{dx}]$, while makeIntegral w returns the vector of primitive multiples of the $w_i$'s in $\mathbbm{Q}[x,y]$.

Example

1 --> L := D^2 + 3/16/x^2;
2 --> tex(makeIntegral(L));

$$x^{2}\,D^{2}+{{3} \over {16}}$$

3 --> w := Darboux(L);
4 --> tex(w);

$$[ u^{2}-{{1} \over {x}}\,u+{{{{3} \over {16}}} \over {x^{2}}} ]$$

5 --> tex(makeIntegral(w));

$$[ x^{2}\,u^{2}-x\,u+{{3} \over {16}} ]$$

See Also

normalize