The equation is

$\displaystyle \frac{dy}{dx} = 5x^2 - \frac{6}{y-2}$

Can you just move the $\displaystyle \frac{6}{y-2}$ to the other side and multiply by dx? Not sure this will works since then the term $\displaystyle \frac{6}{y-2}$ will also have a dx in it.

Also the initial condition is (-1,-4).

It also asks for eulers method for f(0) using 2 steps. I got .625, not sure if I did it right. Can someone check it for me?