JEE Main 2024 Mathematics question
Let y = y(x) be the solution of the differential equation sec x dy + {2(1 – x)tan x + x(2 – x)}dx = 0 such that y(0) = 2. Then y(2) is equal to:
Answer: (D)
Solution
dy = [2(x − 1)sin x + x(x − 2)cos x]dx. Integrating, y = (x² − 2x)sin x + c (the derivative of (x²
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