Let y=y(x) be the solution of the differential equation dy/dx + 3(tan ²x) y + 3y = sec ²x, with y(0)=1/3+e³. Then y ((π)/4) is equal to:

Differential Equations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q63

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumDifferential Equations163× since 2002

Let

y=y(x)

be the solution of the differential equation

\frac{dy}{dx} + 3(\tan^2x)\,y + 3y = \sec^2x

, with

y(0)=\tfrac{1}{3}+e^3

. Then

y\bigl(\tfrac{\pi}{4}\bigr)

is equal to: