Determinants_JEE MAIN_11-01-2019_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE MAIN 2019

11-01-2019 S1

Question

If $y(x)$ is the solution of the differential equation $\frac{d y}{d x}+\left(\frac{2 x+1}{x}\right) y=e^{-2 x}, x>0$ where $y(1)=\frac{1}{2} e^{-2}$ then

Select the correct option:

$y(x)$ is decreasing in $\left(\frac{1}{2}, 1\right)$

$y\left(\log _e 2\right)=\frac{\log _e 2}{4}$

$y\left(\log _e 2\right)=\log _e 4$

$y(x)$ is decreasing in $(0,1)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Medium

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