I have been asked to solve $x' = t/(1 + t^2) - x(t/(1+t^2))$ and determine the maximal interval where the solution exists.
I have tried to solve this in many different ways but must be using the wrong method, could someone please explain which way i would use to solve this as im pretty sure i am getting it completely wrong!! I know how to solve differential equations normally, so shouldnt need too much of an explanation... just which method to use to solve! I think it is a linear equation but i may be wrong.
it is due it at 4pm so need some help asap!! Thanks in advance :)