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Differential Equations question

2012 · Shift 1 · Q34

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JEE Advanced
Mathematics
Differential Equations
2012 · Shift 1 · Q34

Differential Equations question

2012 · Shift 1 · Q34

JEE AdvancedMathematicsDifferential EquationsMultiple correct+4 / −1

If

y(x)

satisfies the differential equation

y' - y\,tan\,x = 2x\,secx

and

y(0)=0,

then

A
$y\left( {{\pi \over 4}} \right) = {{{\pi ^2}} \over {8\sqrt 2 }}$
B
$y'\left( {{\pi \over 4}} \right) = {{{\pi ^2}} \over {18}}$
C
$y\left( {{\pi \over 3}} \right) = {{{\pi ^2}} \over 9}$
D
$y'\left( {{\pi \over 3}} \right) = {{4\pi } \over 3} + {{2{\pi ^2}} \over {3\sqrt 3 }}$

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