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

$\left(3x-1\right)^2\left(2x-1\right)^2$

$12x^2+x\:^3+47x+60$

$x^{10}-81$

$\frac{dy}{dx}=-\:\frac{6x\:+\:7}{3\left(6y+1\right)}\:$

$\left(x^{2\:-\frac{1}{2}}x\right)^2$

$7u^2\left(u\:-9\right)\:-\:2\left(u\:-\:9\right)\:$