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Problem with DSolve


Consider this simple 1st order equation

DSolve[(y'[x])^2 - x y'[x] + y[x] == 0, y[x], x]

The generic solution should be y= c ( x - c)
and in addition a singular solution of this equation is y = x2/4 .

The solution Mathematica produces is different. At least I could not 
relate it to the above solutions. What am I missing?
sincerely, -anand.



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