Let y = y(x) be the solution of the differential equation dy/dx + 2y sec ² x = 2 sec ² x + 3 tan x · sec ² x, such that y(0) = 5/4. Then 12 (y((π)/4) - e⁻²) is equal to:

Unclassified (maths): JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q21

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumUnclassified (maths)

Let

y = y(x)

be the solution of the differential equation

\frac{dy}{dx} + 2y \sec^2 x = 2\sec^2 x + 3 \tan x \cdot \sec^2 x

, such that

y(0) = \frac{5}{4}

. Then

12 \left( y\left(\frac{\pi}{4}\right) - e^{-2} \right)

is equal to:

Your answerInteger or decimal