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28#

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發(fā)表于 2017-7-19 22:05:01
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K = DSolve[{-V/(x*f''[x])*Sqrt[1 + f'[x]^2] == 2*V, f[-L] == 0, " [& R+ s5 K. N# ^0 S3 c
f'[-L] == 0}, {f[x]}, x];% y8 C) H5 ?5 H5 B2 O% t1 I
M = K /. {V -> 1, L -> 100};1 \8 M5 |3 K% {! B1 Z/ g4 [
Manipulate[
3 F; G0 B! w/ Q8 z' D- C' T9 p Plot[M[[2, 1, 2]], {x, -100, 0},
' b& r" g4 C. [ Epilog -> {PointSize[0.01], Black, / m$ B# l l. e6 K- T# h( q
Point[{{a, M[[2, 1, 2]] /. x -> a}, {0, 7 V. v" w: J3 N( B! r' O
M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}], Red, Dashed, 0 z: h+ V% k7 J- ^6 e, H; g
Line[{{a, M[[2, 1, 2]] /. x -> a}, {0,
0 z. v$ b9 y l3 [: h6 _! J M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}]}], {a, -100,
1 A9 g6 `5 D6 [ 0}]
1 u% }0 s5 `; P$ V% f/ ?6 c1 ^Export["1.gif",
- l. H l% G6 r/ _7 G! _6 y Table[Plot[M[[2, 1, 2]], {x, -100, 0},
* V: i. ~* {5 h& c4 n( d Epilog -> {PointSize[0.01], Black, ; E( @, \% ]- j: K$ z
Point[{{a, M[[2, 1, 2]] /. x -> a}, {0,
$ ^" Q9 Z8 J% b! H, d' J M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}], Red, Dashed,. m! O3 Y; \8 L# P% c
Line[{{a, M[[2, 1, 2]] /. x -> a}, {0, & A5 K/ M3 y5 ]5 D9 f7 z0 T; p5 t
M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}]}], {a, ! J" U5 {, y" N3 ?5 W$ S Y
Join[Range[-100, -1], {-0.0001}]}]]
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