$\int\frac{3}{5}t^{-\frac{7}{2}}dt$
$\frac{dy}{dx}=4+\frac{6}{x}$
$\frac{dy}{dx}+12x^2y=5x^2,\:y\left(0\right)=4$
$\frac{d}{dx}\left(x^2+3xy=-2x^2y\right)$
$x+\sqrt{5x+19}=-1$
$\frac{dy}{dx}=\:\left(1+x^2\right)\left(1+y\right)$
$400a^2-25b^2$
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