Mathematics · 2021
JEE Main · 27 August 2021, Shift 2 · Q73
If the solution curve of the differential equation (2 x-10 y^3) d y+y d x=0, passes through the points (0,1) and (2, β), then β is a root of the…
If the solution curve of the differential equation $\displaystyle \left(2 x-10 y^3\right) \mathrm{d} y+y \mathrm{~d} x=0$, passes through the points $\displaystyle (0,1)$ and $\displaystyle (2, \beta)$, then $\displaystyle \beta$ is a root of the equation :
Official answer
(3)
$\displaystyle y^5-y^2-1=0$
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