Let y=y(x) be the solution of the differential equation \frac{d y}{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 (y (\frac{\pi}{4}) -e^{-2}) is equal to \_\_\_\_\_ . [2 Apr 2025 Shift 2]

Differential Equations Part 3

Section: Mathematics

Question : 16 of 34

Marks: +1, -0

Let y=y(x) be the solution of the differential equation ‌

+2y sec2x=2 sec2x+3‌tan‌x⋅ sec2x such that y(0)=‌

. Then 12(y(‌

)−e−2) is equal to _____ .

[2 Apr 2025 Shift 2]

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