The solution of the dif ferential | Differential Equations

JEE MAIN 2020

04-09-2020_S2

Question

The solution of the dif ferential equation $\frac{d y}{d x}-\frac{y+3 x}{\log _e(y+3 x)}+3=0$ is (where C is a constant of integration.)

Select the correct option:

$x-\frac{1}{2}\left(\log _e(y+3 x)\right)^2=C$

$y+3 x-\frac{1}{2}\left(\log _e x\right)^2=C$

$x-2 \log _e(y+3 x)=C$

$x-\log _e(y+3 x)=C$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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