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4.5 Variational calculus
Problem: Find the strong extrema of the functional:
F
(
x
)
=
∫
0
1
(
x
˙
2
−
x
2
)
d
t
→
extr
,
x
(
0
)
=
1
,
x
(
1
)
=
cos
1
.
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