$8y\frac{dy}{dx}=5x^2$

$\frac{dy}{dx}=5xy^3$

$\lim_{n\to\infty}\left(\frac{e^{2n}}{ln\left(n+3\right)}\right)$

$\lim_{x\to\infty}\left(\sqrt{5x+1}-\sqrt{2x-1}\right)$

$2\sin x+3=\sin x$

$\int-7x^3\left(9x^4+10\right)^2dx$

$\lim_{x\to\infty}\left(\frac{\ln\left(x+1\right)^5}{\ln\left(x^5\right)}\right)$