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Differential Equations question

2025 · 2 Apr · Shift 2 · Q49

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JEE Main
Mathematics
Differential Equations
2025 · 2 Apr · Shift 2 · Q49

Differential Equations question

2025 · 2 Apr · Shift 2 · Q49

JEE MainMathematicsDifferential EquationsNumerical+4 / −1

Let

y=y(x)

be the solution of the differential equation

\frac{\mathrm{d} y}{\mathrm{~d} x}+2 y \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)-\mathrm{e}^{-2}\right)

is equal to

\underline{\hspace{2cm}}

Numerical answer

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