$\frac{dx}{dy}+\frac{x}{y}=e^y$

$\frac{dv}{dt}-\frac{1}{t}v=2$

$\left[sec\:\left(a\right)\right]\:\:\left(\sqrt{\csc^2\left(a\right)-1}\right)$

$\int_0^{\infty}\left(\frac{10}{x\left(\ln\left(x\right)^2\right)}\right)dx$

$v-6=-3$

$3\left(x-2\right)+2x=4x-3$

$y'+2xy^3=4y$