JEE Advanced 2021 Mathematics question

MathematicsDifferential EquationJEE Advanced 2021

For any real numbers and , let , , be the solution of the differential equation

+ α y = , y(1) = 1.

Let . Then which of the following functions belong(s) to the set ?

Answer: (A),(C)

Solution

With integrating factor : . If : . If : . (A) : $y =

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Question ID VK-033938