$\frac{dy}{dt}=\frac{1}{2y+1}$
$\lim_{x\to\infty}\sqrt{\frac{x^2+x+3}{\left(x-1\right)\left(x+1\right)}}$
$x^230x+c$
$\left(x+50\right)^2$
$\frac{3}{2x^{\frac{1}{2}}}$
$5y^2-2y-3=0$
$2\:ydx+xdy=xy^3dy$
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