$\frac{dy}{dx}=4y\:\:\:\:y\left(0\right)=3$

$12d-45=4\left(3d-13\right)$

$\frac{dy}{dx}=\left(1+y^2\right)e^x$

$\frac{d}{dx}\left(6\left(sin\left(x\right)^x\right)\right)$

$5a\left(a-b\right)-15b\left(a-b\right)$

$\frac{d}{dx}6x^2+4xy+2y^2=34$

$\lim_{x\to0}\left(\frac{sin^35x}{x^3}\right)$