$9x^2-64y^2$

$\frac{2g-3}{2g}$

$\frac{dy}{dx}=\frac{1}{5}5\left(100-y\right)$

$12sin^2t+4cos^2t$

$\frac{\left(-x^3-5x^2+3x+20\right)}{x^2+7x+12}$

$\lim_{x\to0}\left(\frac{\sqrt{9-x^2}-3}{x}\right)$

$y'+\frac{1}{1+x^2}y=e^{-\tan^{-1}\left(x\right)}\:\:y\left(0\right)=0$