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1a.
u
(
x, t
) =
F
(
x
−
ct
)
Use the chain rule:
∂ u
∂ t
=
−
c
dF
(
x
−
ct
)
d
(
x
−
ct
)
at
t
= 0
∂ u
∂ t
=
−
c
dF
(
x
)
dx
1b.
∂ u
∂ x
=
dF
(
x
−
ct
)
d
(
x
−
ct
)
·
1
at
x
= 0
∂ u
∂ x
=
dF
(
−
ct
)
d
(
−
ct
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Unformatted text preview: ) = − 1 c dF ( − ct ) dt = F ( − ct ) ↑ diferentiation with respect to argument 276...
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- Fall '08
- BELL,D
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