Question

Solve differential equation. Just explain the first 2 steps

Answer 1

There's a couple ways to solve this but a simple straightforward one will work here. Since we have a derivative, if we isolate our y's we can integrate and then isolate for y.

So

$y' = - y^{2} sinx$

to 

$y^{-2} y' = -sinx$

And just to understand we can integrate it, think about this in differential form  to create

$y^{-2} dy = -sinx dx$

And integrate!