JEE Main 2024 Mathematics question
Let y = y(x) be the solution of the differential equation ; y(0) = 0. Then the area enclosed by the curve f(x) = y(x)e and the line y − x = 4 is .
Answer: 18
Solution
As per the printed key and Career Point's solution, the integrating factor is and y· = x²/2 (with y(0) = 0), so f(x) = x²/2. The line y
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