" � ("f) f(r, �, Ć) =
r2(1 + �2 + Ć2)
ł%T T (r, �, Ć) = r(cos � + sin � cos Ć)
y2 2 (x) + y(x) = 0
y(x) = C1 cos x + C2 sin x
(1 - x2)y2 2 (x) - 2xy2 (x) + ą(ą + 1)y(x) = 0
x = 0
ą = n n
n Pn(x) x = ą1
Pn(1) = 1
x = cos �
0 d" � d" Ą
(ą - n)(ą + n + 1)
cn+2 = cn
(n + 1)(n + 2)
x = 0
8x2y2 2 (x) + 10xy2 (x) - (1 + x)y(x) = 0
xy2 2 (x) + y(x) = 0
4x2y2 2 (x) - 2x(x + 2)y2 (x) + (x + 3)y(x) = 0
x = 0
�2
x2y2 2 (x) + xy2 (x) + (1 - ) = 0
x2
� = 0, ą1, ą2...
8
� = ą1, ą3, ą5...
2 2 2
y(x) = xŁn="cnxn,
n=0
 = ą�