$\sec^2x-1\left(x\right)^2=\frac{1}{\sin\left(x\right)^2\cdot\cos\left(x\right)^2}$

$\frac{\left(-1\right)^n\left(x-1\right)^n}{\left(2n\right)\left(12\right)^n}$

$\left(x^2+9\right)\:\frac{dy}{dx}+xy=0$

$x^2+30x-64$

$\int\left(\frac{x^2-x^3}{4x^3-3x^{\text{4}}}\right)dx$

$-y=x$

$x^{\left(4\right)}y^{\left(2\right)}-2x^{\left(3\right)}y^{\left(3\right)}+x^{\left(2\right)}y^{\left(4\right)}$