(Chemical kinetics) Two substances, with concentrations x(t) and y(t), react to form a third substance, with concentration z(t). The reaction is governed by the system x′+ αx = 0, z ′ = βy and x + y + z = γ, where α, β, γ are known positive constants. Solve for x(t), y(t), z(t), subject to the initial conditions z(0) = z′(0) = 0 for these cases:
α ≠ β
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