$\frac{dy}{dt}=-\frac{t}{y}$

$\frac{-2}{9y^3}\cdot\frac{6}{5y^5}$

$\lim_{x\to\infty}t-ln\left(t\right)$

$\left(x^2+27\right)y'=xy$

$\frac{dp}{dt}=t+p$

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

$\frac{\left(1+\sin\left(x\right)\right)}{\left(\cos\left(x\right)+\sin\left(x\right)\cos\left(x\right)\right)}$