jee-advanced 2017 Q39

jee-advanced · India · paper2 Differential equations Solving Separable DEs with Initial Conditions

If $y = y ( x )$ satisfies the differential equation
$$8 \sqrt { x } ( \sqrt { 9 + \sqrt { x } } ) d y = ( \sqrt { 4 + \sqrt { 9 + \sqrt { x } } } ) ^ { - 1 } d x , \quad x > 0$$
and $y ( 0 ) = \sqrt { 7 }$, then $y ( 256 ) =$
[A] 3
[B] 9
[C] 16
[D] 80

If $y = y ( x )$ satisfies the differential equation

$$8 \sqrt { x } ( \sqrt { 9 + \sqrt { x } } ) d y = ( \sqrt { 4 + \sqrt { 9 + \sqrt { x } } } ) ^ { - 1 } d x , \quad x > 0$$

and $y ( 0 ) = \sqrt { 7 }$, then $y ( 256 ) =$

[A] 3

[B] 9

[C] 16

[D] 80

Paper Questions

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