Question

how do you verify verify the left side is a product rule. in linear differential equations?

Answer 1

if you're using the integrating factor on a linear differential equation then one side will always be of the product rule, u(t)y'(t) where u(t) is the integrating factor. it just always seems to work out

Answer 2

is there an exact problem you are looking at or any you want to use as an example if you still need help