Décompositions en éléments simples

Jean-Michel Sarlat (jm-sarlat@melusine.eu.org) - 26 mars 2003
1 Énoncé
2 Calculs

1 - Énoncé


2 - Calculs

(C2) partfrac((X^2+1)/((X-1)*(X-2)*(X-3)),X);

tex 
(C3) partfrac((X-2)/(X^2*(X-1)),X);

tex 
(C4) partfrac(2/(X*(X-1)^2),X);

tex 
(C5) partfrac((X^5+X^2-X+1)/(X-1)^3,X);

tex 
(C6) partfrac(1/(X^3+1),X);

tex 
(C7) partfrac((X-2)/(X^4-1),X);

tex 
(C8) partfrac((X^3+2)/(X^3*(X^4-1)),X);

tex 
(C9) partfrac(1/(X^4+X^2+1),X);

tex 
(C10) partfrac(4*X^3/(X^4-1)^2,X);

tex 
(C11) partfrac((X^2+2*X+5)/(X^2-3*X+2),X);

tex 
(C12) partfrac(X*(X^6-1)/(X^2-1)^3,X);

tex 
(C13) partfrac(16/((X-1)^3*(X+1)^3),X);

tex 
(C14) partfrac(1/(X^3+3*X^2+2*X)^4,X);

tex 
(C15) partfrac((X^8+X+1)/(X^4*(X-1)^3),X);

tex 
(C16) partfrac((X^7+1)/(X^2+X+1)^3,X);

tex 
(C17) partfrac((X^8+1)/((X-1)^2*(X^3-8)),X);

tex 
(C18) partfrac((X^2+X+1)/(X^3*(X^2+1)^2),X);

tex 
(C19) partfrac(X^2/(X^4 -2*X^2*cos(alpha)+1),X);

tex 
(C20) partfrac(X^2/(X^4 -2*X^2*(2*(cos(alpha/2))^2-1)+1),X);

tex
Autres réalisations de ce document : index.pdf, index.ps.
Source index.txt mouliné par petitParseur(Z+B) le mercredi 26 mars 2003.