$\left(1-\cos\left(x\right)\right)\left(1+\cos\left(x\right)\right)=\frac{1}{1+\cot^2\left(x\right)}$

$\frac{1}{6}\frac{dy}{dx}-y=\frac{e^{5x}}{6}$

$+\frac{6}{-2}$

$3\sqrt{12}$

$\left(x^{10}+10y^2\right)^2$

$\frac{dy}{dx}=\frac{x^2y+6y^3}{x^3+y^2x}$

$\frac{x^4+5x^3+3x^2}{x}$