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JEE Advanced 2026 Mathematics question

MathematicsDifferential EquationJEE Advanced 2026

Let be the real valued function defined on the interval , satisfying and the differential equation

x =y- .

Then which of the following statements is (are) TRUE ?

Answer: (B),(D)

Solution

Write the equation in linear form:

-=- .

The integrating factor is , and

()=-x\ \ =-+C\ \ y=-+Cx .

From : , so and

f(x)=Missing argument for \frac\frac{x-x^3}{2

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Question ID VK-104760