Методы математической физики - 39 стр.

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u(x, t
0
)
t
0
x = x
0
u(x
0
, t) x
0
t = 0
x = 0 x
a K
0
x
0
x
0
= x a t.
u
1
(x, t) = f
1
(x a t)
u
1
(x
0
, t) = f
1
(x
0
)
u
1
(x, t) = f
1
(x a t)
a
x f
2
(x +
a t) a
x
(x, t)
f
1
(x a t) t = 0
(x
1
, x
2
)
f
1
(xa t) xa t =
x
x a t = x
2
x a t = x
1
M
(
x
0
, t
0
)
x a t = x
0
a t
0
, x + a t = x
0
+ a t
0
.
t = 0 P Q
x
P
= x
0
a t
0
, x
Q
= x
0
+ a t
0
.
P QM