On the complete solution of ∈y″=y³

In Ref. 1, the author claimed that the problem ∈y″=y³ is soluble only for a certain range of the parameter ∈. An analytic approach, as adopted in the following contribution, reveals that a unique solution exists for any positive value of ∈. The solution is given in closed form by means of Jacobian elliptic functions, which can be numerically computed very efficiently. In the limit ∈→0+, the solutions exhibit boundary-layer behavior at both endpoints. An easily interpretable approximate solution for small ∈ is obtained using a three-variable approach.