Consider the functional cb = (ở (2² a S[y] da | g” sinh x sinhx for some limits u₁ ) Find the Euler-Lagrange equation associated with this functional. Find a new independent variable, u, depending only on x, that transforms this functional to S[y] = [² du (y² — 2(y′(u))²), and u2, y(a) = A, y(b) = B, 0 < a < b. which you should find.

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