Utt
t > O, x G
u(0, x) ut(0,x)
■■ip(x) = 0,
ip(x)
^(1 + COS x), |x| < 7T 0, |x| > 7T
X
utt -
t > O, x G
u(0, x) ut(0,x)
■ O,
x G
^(1 + COS x), |x| < 7T 0, H > 7T
X
utt -
+ f(t,x),
t > O, x G
u(0, x) ut(0,x)
O,
■ O,
x G x G
^ sin(í)(l + cos x),   \x\ < it
0, \x\ > 7ľ
t= 0.00
T" 0
T" 5
10
-10
x
Utt		t > 0, x > 0
u(0, x)	= (f{x),	x > 0
ut(0,x)	= 0,	x > 0
u(t, 0)	= 0,	í > 0
</>(x)
+C0S(X - 10)), |X-10|<7T 0, \X - 10| > TT
t= 0.00
cm H
(M
I
co
I
T" 0
10
20
30
40
x
ip{x)
	í > 0,	x > 0
u(0,x) = 0,	x > 0	
	x > 0	
u(r,0) = 0,	í > 0	
J ^ (l + cos(x	-10)),	X - 10| < TT
		X - 101 > tt
X
í > O, x > 0
u(0,x) = 0, x > O
ut(0,x) = 0, x > O
u(í, 0) = siní,      í > O
t= 0.00
T" O
~r
5
"T" 10
15
20
x
Utt		t > 0, x > 0
u(0, x)	= (f{x),	x > 0
ut(0,x)	= 0,	x > 0
ux(t, 0)	= 0,	í > 0
</>(x)
+C0S(X - 10)), |X-10|<7T 0, \X - 10| > TT
t= 0.00
co -
(M -
(M I
CO
I
T"
0
10
20
30
40
x
ip{x)
	t > 0,	x > 0
u(0,x) = 0,	x > 0	
	x > 0	
ux(t, 0) = 0,	í > 0	
J \ (l + cos(x	-10)),	X - 10| < TT
		X - 101 > 7T
X
í > O, x > 0
u(0,x) = 0, x > O
ut(0,x) = 0, x > O
^(í, 0) = sin í,      í > 0
t= 0.00
T" 0
~r
5
"T" 10
15
20
x
t > O, O < x < 1
u(0,x) = ip(x), 0<x<l ut(0,x) = 0, 0<x<l u(t, 0) = O, í > O
1,1704, x < 0,8528,
yj(aľ) = «( cos 14(a: - f),   0,8528 < x < 0,9022, _0,2577(x - 1),   x > 0,9022
x
u(0,x) = 0, u(r,0) = 0,
í > 0, 0 < x < 1
0 < x < 1 0 < x < 1 í > 0
ip{x)
1 +cos28(x - f))
28|x 28|x
< 7T
> 7T
X
utt=uxx+f(x), í > O, 0<x<l
u(0,x) = 0, 0<x<l
ut(0,x) = 0, O < x < 1
u(í,0) = 0, r>0
/(*)
100 1
1 + cos28(x - f)),
0,
28\x 28\x
< 7T
> 7T
co H
cm H
(M
I
co
I
t= 0.00
0.0
0.2
0.4
0.6
0.8
1.0
x