Graded algebras of the second rank and integration of nonlinear equations Ysub(z)sub(z) = exp(2Y) - exp(-2Y), Ysub(z)sub(z) = 2 exp(Y) - exp(-2Y)

In the terms of the notions of the theory of infinite-dimensional algebras of finite growth of the second rank, we have derived solutions to the equations Ysub(z)sub(z) = exp(2Y) - exp(-2Y); Ysub(z)sub(z) = 2 exp(Y) - exp(-2Y) dependent on two arbitrary functions. (orig.)