JEE Main 2024 Mathematics question
If the solution curve, of the differential equation passing through the point (2, 1) is , then 5β + α is equal to .
Answer: 11
Solution
The lines x + y − 2 = 0 and x − y = 0 meet at (1, 1). Put x = X + 1, y = Y + 1 and Y = tX: X(dt/dX) = (1 + t²)/(1 − t), so dX/X = (1 − t)/(1 +
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