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Problem with DSolve


Hi,

The following equation has solution f(z) = 1, yet DSolve can't seem to find it:

DSolve[{-1 - Derivative[1][f][z]^2 + 
    f[z] (f^\[Prime]\[Prime])[z] == -f[z] (1 + 
      Derivative[1][f][z]^2)^(3/2), f[0] == 1, f[1] == 1}, f, z]

I get:

DSolve::bvnul: For some branches of the general solution, the given boundary conditions lead to an empty solution. >>

DSolve::bvnul: For some branches of the general solution, the given boundary conditions lead to an empty solution. >>


Any workaround?

Thanks!

Sam



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