Let y(x) be a solution of the differential equation (1+e^x)y'+ye^x=1. If y(0)=2, then which of the following statements is (are) true?

JEE Advanced 2015 Mathematics question

Let be a solution of the differential equation . If , then which of the following statements is (are) true?

Answer: (A),(C)

The left side is , so . , hence . (A true); (B false).

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Question ID VK-026417