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Differential Equations question

2017 · Shift 2 · Q20

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PYQ Library
JEE Advanced
Mathematics
Differential Equations
2017 · Shift 2 · Q20

Differential Equations question

2017 · Shift 2 · Q20

JEE AdvancedMathematicsDifferential EquationsMCQ+3 / −1

If y = y(x) satisfies the differential equation

{8\sqrt x \left( {\sqrt {9 + \sqrt x } } \right)dy = {{\left( {\sqrt {4 + \sqrt {9 + \sqrt x } } } \right)}^{ - 1}}}

dx, x > 0 and y(0) =

\sqrt 7

, then y(256) =

A
16
B
3
C
9
D
80

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