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Mathematics · 2014
JEE Main 2014 · 2014-04-06 Offline · Q77
Let the population of rabbits surviving at a time t be governed by the differential equation (dp ( t ))/dt=1/2 p ( t )-200. If p (0)=100, then p ( t…
Let the population of rabbits surviving at a time t be governed by the differential equation $\displaystyle \frac{\mathrm{dp}(\mathrm{t})}{\mathrm{dt}}=\frac{1}{2} \mathrm{p}(\mathrm{t})-200$.If $\displaystyle \mathrm{p}(0)=100$, then $\displaystyle \mathrm{p}(\mathrm{t})$ equals :
Official answer
(3)
$\displaystyle 400-300 \mathrm{e}^{\mathrm{t} / 2}$
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JEE Main 2014 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.