Questions Asked in Previous 10 Years' Exams Let \( y(x) \) be the solution of the differential e...

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Questions Asked in Previous 10 Years' Exams
Let \( y(x) \) be the solution of the differential equation \( (x \log x) \frac{d y}{d x}+y=2 x \log x,(x \geq 1) \). Then, \( y(e) \) is equal to [2015 JEE Main] \( \begin{array}{llll}\text { (a) } e & \text { (b) } 0 & \text { (c) } 2 & \text { (d) } 2 e\end{array} \)
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