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Differential Equations question

2019 · 10 Jan · Shift 1 · Q42

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JEE Main
Mathematics
Differential Equations
2019 · 10 Jan · Shift 1 · Q42

Differential Equations question

2019 · 10 Jan · Shift 1 · Q42

JEE MainMathematicsDifferential EquationsMCQ+4 / −1

If

{{dy} \over {dx}} + {3 \over {{{\cos }^2}x}}y = {1 \over {{{\cos }^2}x}},\,\,x \in \left( {{{ - \pi } \over 3},{\pi \over 3}} \right)

and

y\left( {{\pi \over 4}} \right) = {4 \over 3},

then

y\left( { - {\pi \over 4}} \right)

equals -

A
${1 \over 3} + {e^6}$
B
${1 \over 3}$
C
${1 \over 3}$ + e3
D
$-{4 \over 3}$

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