Question: NO Solution for ode


i have the following ode

.7246228659*(diff(f(x), x, x, x))+f(x)*(diff(f(x), x, x))+.6666666666-.6666666666*(diff(f(x), x))^2

with boundary conditions

f(0) = 0, D(f)(0) = a, (D(f))(b) = 1   (b corresponds to infinity and we can assume it 4 or 10 such that the solution converge)

i know the the solutions exist up to a critical value of "a" that beyonds no solution exist. for example for the following ode the critical value is a=-1.2456. how can i found this critical value. it must be noted that for a<-1 the ode have dual solutions.


thanks for your attentioin in advance

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