If y = y ( x ) satisfies the differential equation 8 x ( 9+ x ) d y=( 4+ 9+ x )^ -1 d x…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
If y = y(x) satisfies the differential equation
\(8 \sqrt{x}(\sqrt{9+\sqrt{x}}) d y=(\sqrt{4+\sqrt{9+\sqrt{x}}})^{-1} d x, x>0\)
\(\text { and } y(0)=\sqrt{7} \text {, then } y(256)=\)
\(8 \sqrt{x}(\sqrt{9+\sqrt{x}}) d y=(\sqrt{4+\sqrt{9+\sqrt{x}}})^{-1} d x, x>0\)
\(\text { and } y(0)=\sqrt{7} \text {, then } y(256)=\)
- 9
- 3
- 80
- 16
Answer
(A) 9
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