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Solve differential equation. Just explain the first 2 steps

Solve differential equation. Just explain the first 2 steps-example-1
User Allenph
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1 Answer

4 votes
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!
User Chris Lefevre
by
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