Mathematics · 2021
JEE Main · 27 July 2021, Shift 1 · Q73
Let y=y(x) be solution of the differential equation log_e ((d y)/(d x))=3 x+4 y, with y(0)=0. If y(-2/3 log_e 2)=α log_e 2, then the value of α is…
Let $\displaystyle y=y(x)$ be solution of the differential equation $\displaystyle \log _{\mathrm{e}}\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)=3 x+4 y$, with $\displaystyle y(0)=0$.
If $\displaystyle y\left(-\frac{2}{3} \log _{\mathrm{e}} 2\right)=\alpha \log _{\mathrm{e}} 2$, then the value of $\displaystyle \alpha$ is equal to:
Official answer
(1)
$\displaystyle -\frac{1}{4}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.