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

$9x^2\left(y-5\right)^2+6x\left(y-5\right)^2+4\left(y-5\right)^2$

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

$\left(3x^3-2y^2\right)\left(9x^6-6x^3y^2+4y^4\right)$

$\int\left(x^2-3\right)e^{-5x}dx$

$\left(a-2b^2\right)\left(a^3+b^2\right)$

$\int\left(x\left(x^2-2\right)^{0.5}\right)dx$