Sh x
ex - e-x /2
Th x
ex - e-x / ex + e-x
Ch^2 + sh^2 =
1
Ch x =
1/2 X ex + e-x
Solutions complexes de H2, eq caracteristique d’une EDL 2
D = discriminant
Si D pas 0 : h(x) = C1er1(x) + C2er2(x)
Si D = 0 : h(x) = (C1 + C2t) eRox
C1 C2 E complexes
Solutions réelles de H2, eq caracteristique d’une EDL 2
D = discriminant
D > 0 : h(x) = C1er1x + C2 er2x
D=0 : h(x)= (C1+C2t)e Rox
D
Lim qd n-> 8 de som1/k^2 =
Pi^2/6
Chx + sh x =
ex
Chx - shx =
e(-x)
(chx)^2 - (shx)^2 =
1