Abstract
The closed form solution of Troesch's problem is developed in terms of Jacobian elliptic functions. From the closed form solution two interesting properties of Troesch's problem can be found. The first is the location of a pole, the second is branching or bifurcation behavior. Depending on the value of the parameter n, the problem possesses a continuous solution and possibly one or more discontinuous solutions. Numerical evaluation of the closed form solution as well as numerical integration is carried out for n = 5(1)10 to show the effects of the discontinuous solutions on the numerical computations.
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