JEE Main 2024 Mathematics question
Let y = y(x) be the solution of the differential equation (x² + 4)² dy + (2x³y + 8xy − 2)dx = 0. If y(0) = 0, then y(2) is equal to
Answer: (D)
Solution
dy/dx + 2x y/(x² + 4) = 2/(x² + 4)²; the integrating factor is x² + 4, giving
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