JEE (Advanced) 2017 Paper-2 Question 39

Question 39

If $$y=y(x)$$ ) satisfies the differential equation $$8\sqrt{x}(\sqrt{9+\sqrt{x}})dy=(\sqrt{4+\sqrt{9+\sqrt{x}}})^{-1}dx$$, x>0 and $$Y(0)=\sqrt{7}$$, then y(256)=



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