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+ H O: F6 b! J' r9 B
K = DSolve[{-V/(x*f''[x])*Sqrt[1 + f'[x]^2] == 2*V, f[-L] == 0, / {2 n& J' ~) B+ d; n% x* `% z
f'[-L] == 0}, {f[x]}, x];
0 L" o/ ?6 P, R, v& M( K5 lM = K /. {V -> 1, L -> 100};
4 C/ s% ]9 Q* W# ^& F8 `; d# lManipulate[- u S" D3 l! r9 M. W) S
Plot[M[[2, 1, 2]], {x, -100, 0},
6 w' x8 k* Q/ F& `; ` Epilog -> {PointSize[0.01], Black, ' o$ n3 f' Q) ~/ I
Point[{{a, M[[2, 1, 2]] /. x -> a}, {0,
b: p8 }2 {% ^: n M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}], Red, Dashed, + d/ l1 @/ U V: s3 i
Line[{{a, M[[2, 1, 2]] /. x -> a}, {0, ) E0 [) l/ L4 Z$ S9 ^" N
M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}]}], {a, -100, u( r0 z; H8 n; V: F6 q \, @
0}]
( [* @9 h' J; l) b7 a* wExport["1.gif",
( t/ `. i& y% K. ~# b Table[Plot[M[[2, 1, 2]], {x, -100, 0},
1 B H! K& K) k/ w" v& m/ I Epilog -> {PointSize[0.01], Black, ! j8 c" H8 g5 W* N+ m$ j3 ^& G: r1 p; l
Point[{{a, M[[2, 1, 2]] /. x -> a}, {0,
9 o8 H6 X8 ?# o7 N( G' J* K M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}], Red, Dashed,( l3 E' ^* W4 y" k$ e0 _
Line[{{a, M[[2, 1, 2]] /. x -> a}, {0,
, n: h3 R7 [; z M[[2, 1, 2]] - x*D[M[[2, 1, 2]], x] /. x -> a}}]}], {a,
" g2 M1 S! ]! ? Join[Range[-100, -1], {-0.0001}]}]]7 p5 I/ e- x. Z
7 R4 }5 f8 U+ L& m6 M* j p
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