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!