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I've been trying to solve the following equation:

[itex]x^2(yy''-{y'}^2)+xyy'-y\sqrt{y^2+x^2y'^2}=0[/itex]

One of the tries was to do the substitution [itex]z=xy'[/itex]. However, it doesnt seem to work...

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# Some tip you can share to solve this equation?

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