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Differential Equations question

2021 · 31 Aug · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Differential Equations
2021 · 31 Aug · Shift 2 · Q29

Differential Equations question

2021 · 31 Aug · Shift 2 · Q29

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

y{{dy} \over {dx}} = x\left[ {{{{y^2}} \over {{x^2}}} + {{\phi \left( {{{{y^2}} \over {{x^2}}}} \right)} \over {\phi '\left( {{{{y^2}} \over {{x^2}}}} \right)}}} \right]

, x > 0,

\phi

> 0, and y(1) =

-

1, then

\phi \left( {{{{y^2}} \over 4}} \right)

is equal to :

A
4 $\phi$ (2)
B
4 $\phi$ (1)
C
2 $\phi$ (1)
D
$\phi$ (1)

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