S[y] = [ "_ dx (y^² + y²), _y(0) = 1, y(v) = v, v > 0, is given by y = coshæ + B sinh x, 0 < * Συ, where B and v are given by the solutions of the equations v=cosh v+ B sinh v and B² 12 sinh v + 2B cosh v. Use these equations to show that v is given by the real solution(s) of ƒ(v) = 0, where f(v) = v² − 2v(1 + sinh v) cosh v + 1 + 2 sinh v.

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