JEE Main 2024 Mathematics question

MathematicsDifferential EquationJEE Main 2024

Let y = y(x) be the solution of the differential equation , x ∈ (0, π/2) satisfying the condition y(π/4) = 2. Then y(π/3) is

Answer: (D)

Solution

sin x(sec x − sin x tan x) = sin x cos x. So dy/dx − y/(sin x cos x) = sec²x, with integrating factor cot x. Then y cot x =

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Question ID VK-017443