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JEE Main 2022 Mathematics question

MathematicsDifferential EquationJEE Main 2022

Let y = y(x) be the solution of the differential equation , with y(0) = 1/3. Then, the point x = −4/3 for the curve y = y(x) is -

Answer: (2)

Solution

dy/dx − y/(x + ) has integrating factor 1/(x + 1), so y/(x + . With y(0) = 1/3: c = 0, so . Then

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Question ID VK-024998