Why does (t²)y' + 2ty equal ((t²)y)'?

[CinderBlockFist]

In my differential equations book there is this step, that i don't know how it goes from one side to the next.


(t^2)y' + 2ty = ((t^2)y)'


cause, on the left side I factor out a t, and i get t(ty'+2y) ...so do i have to learn partial derivatives in order to get from the left side to the right ?

 

[quantumdude]

It's neither partial derivatives nor simple algebra. It's the Product Rule from Calculus I.

 

[CinderBlockFist]

Oh wow I feel stupid, I was searching my whole book. Thanks again.