JEE Math Practice Question
Let $$y=y(x)$$ be the solution of the differential equation $$\left(2 x \log _e x\right) \frac{d y}{d x}+2 y=\frac{3}{x} \log _e x, x>0$$ and $$y\left(e^{-1}\right)=0$$. Then, $$y(e)$$ is equal to
- A.$$-\frac{3}{\mathrm{e}}$$
- B.$$-\frac{3}{2 \mathrm{e}}$$
- C.$$-\frac{2}{3 \mathrm{e}}$$
- D.$$-\frac{2}{\mathrm{e}}$$
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