1. Determine the stationary functions associated with the integral
where a and 8 are constants, in each of the following situations:
(a) The end conditions y(0) = 0 and y(1) = 1 are preassigned.
(b) Only the end condition y(0) = 0 is preassigned.
(c) Only the end condition y(1) = 1 is preassigned.
(d) No end conditions are preassigned.
Note any exceptional cases.
= for 1 for I < 1
Find the external of J(y) when
(a) y(0) = 0. y(1) = 1.
(b) y(0) = 0 and y(1) is unassigned.
(c) y(0) is unassigned and y(1) = 1.
(d) both y(0) and y(1) are unassigned.
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