Differential Equations

$\frac{x}{y}=e^x\left(x^2+x-4\right)+C$

$2 x y=e^x\left(x^2-2 x+4\right)+C$

$\left(x^2+2\right) y=e^x\left(x^2-2 x+4\right)+C$

$\left(x^2+2\right)^2 y=e^x\left(x^2+2 x-4\right)+C$