$\log\left(2x-1\right)=\log\left(4x-3\right)-\log\left(x\right)$
$2x^2\left(x^3+y\right)$
$\frac{dy}{dx}+2xy=6xy^{-2}$
$\frac{dx}{dy}+\left(x+1\right)y=3x$
$3t-t^2$
$72x^2\:+\:24x\:+200$
$\int\frac{1}{\sqrt{\left(\frac{9}{4}\right)-u^2}}du$
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