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

$5\left(3y+7\right)-3\left(2y-5\right)$

$\frac{d}{dx}\left(\sin\left(x\right)\right)^{e^{2x}}$

$\left(5y^2+3y\right)+\left(5y+\frac{1}{4}y^2\right)+\left(\frac{1}{3}y^2+y\right)$

$\int_0^{\sqrt{3}}\left(\frac{1}{\sqrt{12-x^4}}\right)dx$

$x+2y+2x+78$

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