JEE Main 2024 Mathematics question
Let y = y(x) be the solution of the differential equation , −1 < x < 1, y(0) = 0. If , m and n are co-prime numbers, then m + n is equal to .
Answer: 97
Solution
The equation is dy/dx + (x/(x² − 1))y = (x³ + 2)√3/√(1 − x²). The integrating factor is √(1 − x²), so y√(1 − x²) = √3∫(x³ + 2)dx =
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