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NDSolve and error


Hello!
Lately I wrote simple code in Mathematica

sol[p_] :=
  NDSolve[{Sqrt[
          1 + (y'[t])^2] == (x^(p - 1) + (y[x])^(p - 1)*y'[x])/(x^p +
                y[x]^p)^(1 - 1/p), y[1] == 6}, y, {x, 1, 4}]

but when I typed sol[2] the following kind of error was shown:

NDSolve::"ndnum": "Encountered non-numerical value for a derivative at
\
\!\(x\) == \!\(4.587812868332132`*^-296\)."

May I know what I'm doing wrong? Or how can I improve that code to
work correctly?
Thank you in advance
                                  John


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