Mathematics · 2020
JEE Main · 4 September 2020, Shift 2 · Q63
The solution of the differential equation (d y)/(d x)-(y+3 x)/(log_e (y+3 x))+3=0 is: (where C is a constant of integration.)
The solution of the differential equation $\displaystyle \frac{\mathrm{d} y}{\mathrm{~d} x}-\frac{y+3 x}{\log _{\mathrm{e}}(y+3 x)}+3=0$ is : (where $\displaystyle C$ is a constant of integration.)
Official answer
(3)
$\displaystyle x-\frac{1}{2}\left(\log _{\mathrm{e}}(y+3 x)\right)^2=\mathrm{C}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.