$$\frac{d}{dx}x^2y-y^3+3x=8$$

$$sec\left(a\right)\left(1-cos\left(a\right)\right)\:=\:sec\left(a\right)-1$$

$$dx\:+\:\cot\left(y\right)\cdot dy\:=\:x^2\cdot\:\cot\left(y\right)\:\cdot dy$$

$$\left(a^3-81\right)\left(-27-c^3\right)$$

$$\frac{d}{dx}\left(y=tan\left(5^{6x^2}\right)\right)$$

$$\frac{dy}{dx}+4x^3y=e^{-x^4},y\left(0\right)=1$$

$$x-5<0$$