If y=y(x) satisfies the differential equation 8\sqrtx(\sqrt{9+\sqrtx})dy= (\sqrt{4+\sqrt{9+\sqrtx})dx, x > 0 and y(0)=\sqrt7 then y(256)= [JEE Adv 2017 P2]

Differential Equations

Section: Mathematics

Question : 10 of 23

Marks: +1, -0

If y=y(x) satisfies the differential equation 8√x(√9+√x)dy= (√4+√9+√x)dx, x > 0 and y(0)=√7 then y(256)=

[JEE Adv 2017 P2]

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