Question

exact solution to u'(t)=e^(3t)+u(t)? u(0)=1

Answer 1

this is linear and can be solved with an integrating factor

Answer 2

how do you go about doing this? subtract u(t)?

Answer 3

yes, that is the first step

Answer 4

http://tutorial.math.lamar.edu/Classes/DE/Linear.aspx

Answer 5

so your integrating factor would be e^(-t)?