$\frac{dy}{dx}=x-2y+12$
$\frac{dy}{dx}+3x^2y=6x^2$
$\frac{dy}{dx}=xy+2x$
$\left(x^2+1\right)\frac{dy}{dx}+3xy=6x$
$\frac{dy}{dx}=xy+2$
$\frac{dy}{dx}=xy+1$
$\frac{dy}{dx}=xy-1$
A differential equation is a mathematical equation that relates some function with its derivatives.
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