Mathematics · 2024
JEE Main · 4 April 2024, Shift 1 · Q26
Let the solution y=y(x) of the differential equation (d y)/(d x)-y=1+4 sin x satisfy y(π)=1. Then y((π)/2)+10 is equal to ____.
Let the solution $\displaystyle y=y(x)$ of the differential equation $\displaystyle \frac{\mathrm{d} y}{\mathrm{~d} x}-y=1+4 \sin x$ satisfy $\displaystyle y(\pi)=1$. Then $\displaystyle y\left(\frac{\pi}{2}\right)+10$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
7
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.