If dy/dx + 3/(cos ²x)y = 1/(cos ²x), x ((- π)/3,(π)/3) and y((π)/4) = 4/3, then y(- (π)/4) equals -

Differential Equations: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Jan, Morning shift · Q3589

JEE Main 201910 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

{{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 -

JEE Main 2019 · 10 Jan, Morning shift · Q3589

JEE Main 201910 Jan, Morning shiftMathematicsMediumDifferential Equations163× since 2002

{{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 -