$\frac{dy}{dx}=y^2-9$
$\frac{dy}{dx}=y^2-4$
$\left(y^2+2xy\right)dx-x^2dy=0$
$\frac{dy}{dx}=y-y^2$
$\frac{dy}{dx}=y\left(y+2\right)$
$\frac{dy}{dx}=\left(1+e^{-x}\right)\left(y^2-1\right)$
$\frac{dy}{dx}=\frac{x}{2x-y}$
The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.
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