$\left(x+y\right)\frac{dy}{dx}=3$

$\int e^{3r}\cdot\sqrt[2]{1+2e^{3r}}dr$

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

$sin\left(-\frac{2}{7}\right)^2+cos\left(x\right)^2=1$

$\frac{y^2+1}{y+1}dy=\frac{1}{\frac{x^2+1}{x}}dx$

$\int\left(10x^2-12\right)^3dx$