Ok, so we have
.
So int. factor: Multiply both sides of the equation by the int. factor to get
Integrate both sides with respect to t to get
.
Edit: Oops! Didn't see your edit.
If the Wronskian W of f and g is , and if find g(t).
I know we get which becomes .
It is after this that I am getting messed up. I know you use the integrating factor method to solve this, but I am not coming up with the correct answer shown in my book which is I know how to solve first order linear questions but apparently I'm doing something wrong. Can someone help please?
EDIT: I don't need help with this anymore! I realized the mistake I was making